Math Linear Equations in Two Variables Worksheet 3

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We have provided the CBSE & NCERT Math Linear Equations in Two Variables Worksheet 3 for better revision and learning. PDF view is provided at the last of the posts.

Math Linear Equations in Two Variables Worksheet 3
Math Linear Equations in Two Variables Worksheet 3

Quadratic Equations Worksheet 1

Math Linear Equations in Two Variables Worksheet 3

  1. 5 pens and 6 pencils together cost Rs 9 and 3 pens and 2 pencils cost Rs 5. Find the cost of 1 pen and 1 pencil.
  2. 7 audio cassettes and 3 video cassettes cost Rs 1110, while 5 audio cassettes and 4 video cassettes cost Rs 1350. Find the cost of an audio cassette and a video cassette.
  3. Reena has pens and pencils which together are 40 in number. If she has 5 more pencils and 5 less pens, then the number of pencils would become 4 times the number of pens. Find the original number of pens and pencils.
  4. 4 tables and 3 chairs, together, cost Rs 2,250 and 3 tables and 4 chairs cost Rs 1950. Find the cost of 2 chairs and 1 table.
  5. 3 bags and 4 pens together cost Rs 257 whereas 4 bags and 3 pens together cost Rs 324. Find the total cost of 1 bag and 10 pens.
  6. A and B each have a certain number of mangoes. A says to B, “if you give 30 of your mangoes, I will have twice as many as left with you.” B replies, “if you give me 10, 1 will have thrice as many as left with you.” How many mangoes does each have?
  7. One says, “Give me a hundred, friend! I shall then become twice as rich as you.” The other replies, “If you give me ten, I shall be six times as rich as you.” Tell me what is the amount of their respective capital?
  8. The sum of two numbers is 8. If their sum is four times their difference, find the numbers.
  9. The sum of digits of a two-digit number is 13. If the number is subtracted from the one obtained by interchanging the digits, the result is 45. What is the number?
  10. A number consists of two digits whose sum is five. When the digits are reversed, the number becomes greater by nine. Find the number.

Math Linear Equations in Two Variables Worksheet 3

  1. The sum of digits of a two-digit number is 15. The number obtained by reversing the order of digits of the given number exceeds the given number by 9. Find the given number.
  2. Seven times a two-digit number is equal to four times the number obtained by reversing the digits. If the difference between the digits is 3. Find the number.
  3. The numerator of a fraction is 4 less than the denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator is eight times the numerator. Find the fraction.
  4. A fraction becomes 9/11 if 2 is added to both the numerator and the denominator. If 3 is added to both the numerator and the denominator it becomes 5/6. Find the fraction
  5. If 2 is added to the numerator of a fraction, it reduces to 1/2 and if 1 is subtracted from the denominator, it reduces to 1/3. Find the fraction.
  6. The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio2:3. Determine the fraction.
  7. A father is three times as old as his son. After twelve years, his age will be twice that of his son then. Find their present ages.
  8. Ten years later, A will be twice as old as B and five years ago, A was three times as old as B. What are the present ages of A and B?
  9. A is elder to B by 2 years. A’s father F is twice as old as A and B is twice as old as his sister S. If the ages of the father and sister differ by 40 years, find the age of A.
  10. Six years hence a man’s age will be three times the age of his son and three years ago he was nine times as old as his son. Find their present ages.

Math Linear Equations in Two Variables Worksheet 3

  1. Ten years ago, a father was twelve times as old as his son, and ten years hence, he will be twice as old as his son will be then. Find their present ages.
  2. The present age of a father is three years more than three times the age of the son. Three years hence father’s age will be 10 years more than twice the age of the son. Determine their present ages.
  3. A father is three times as old as his son. In 12 years’ time, he will be twice as old as his son. Find the present ages of the father and the son.
  4. Father’s age is three times the sum of the ages of his two children. After 5 years his age will be twice the sum of the ages of two children. Find the age of the father.             
  5. Two years ago, a father was five times as old as his son. Two years later, his age will be 8 more than three times the age of the son. Find the present ages of father and son.

Math Linear Equations in Two Variables Worksheet 3

  1. Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu?                                             
  2. The ages of two friends Ani and Biju differ by 3 years. Ani’s father Dharam is twice as old as Ani and Biju is twice as old as his sister Cathy. The ages of Cathy and Dharam differ by 30 years. Find the ages of Ani and Biju.  
  3. Points A and B are 70 km. apart on a highway. A car starts from A and another car starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other, they meet in one hour. Find the speed of the two cars.                                                                                                         
  4. A sailor goes 8 km downstream in 40 minutes and returns in 1 hour. Determine the speed of the sailor in still water and the speed of the current.
  5. The boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. Determine the speed of the stream and that of the boat in still water.
  6. A man walks a certain distance at a certain speed. If he walks 1/2 km an hour faster, he takes 1 hour less. But, if he walks 1 km an hour slower, he takes 3 more hours. Find the distance covered by the man and his original rate of walking.
  7. Ramesh travels 760 km to his home partly by train and partly by car. It takes 8 hours if he travels 160 km. by train and the rest by car. It takes 12 minutes more if the travels 240 km by train and the rest by car. Find the speed of the train and car respectively.
  8. A takes 3 hours more than B to walk a distance of 30 km. But, if A doubles his pace (speed)he is ahead of B by 1 hour. Find the speeds of A and B.
  9. Abdul traveled 300 km by train and 200 km by taxi, it took him 5 hours and 30 minutes. But if he travels 260 km by train and 240 km by taxi he takes 6 minutes longer. Find the speed of the train and that of the taxi.
  10. If in a rectangle, the length is increased and breadth reduced each by 2 units, the area is reduced by 28 square units. If, however, the length is reduced by 1 unit and the breadth increased by 2 units, the area increases by 33 square units. Find the area of the rectangle.

Math Linear Equations in Two Variables Worksheet 3

  1. 2 men and 7 boys can do a piece of work in 4 days. The same work is done in 3 days by 4 men and 4 boys. How long would it take one man and one boy to do it?
  2. In a ∆ABC, ∠A = x°, ∠B = (3x – 2)°, ∠C = y°. Also, ∠C – ∠B = 9°. Find the three angles.
  3. In a cyclic quadrilateral ABCD, ∠A =(2x + 4)°, ∠B = (y + 3)°, ∠C = (2y + 10)°,∠D = (4x – 5)°. Find the four angles.
  4. Half the perimeter of a garden, whose length is 4 more than its width is 36 m. Find the dimensions of the garden.
  5. One says, “give me a hundred, friend! I shall then become twice as rich as you” The other replies, “If you give me ten, I shall be six times as rich as you”. Tell me what is the amount of their respective capital?

Quadratic Equations Worksheet 1Click Here…

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