Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 866 · 40 questions

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

1. 1.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
2. 2.I think of a number, multiply it by 5 and then add 13. The answer is 83. What is my number?
3. 3.Solve for x: 6(x + 4) = 3x + 33. What is x?
4. 4.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
5. 5.7 × ? − 7 = 35
6. 6.I think of a number, multiply it by 3 and then add 38. The answer is 44. What is my number?
7. 7.I think of a number, multiply it by 5 and then take away 40. The answer is 35. What is my number?
8. 8.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
9. 9.Solve for x: 6(x + 4) = 2x + 64. What is x?
10. 10.A pen costs ₹5 more than a pencil. 2 pens and 3 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
11. 11.I think of a number, multiply it by 7 and then add 28. The answer is 91. What is my number?
12. 12.A pen costs ₹7 more than a pencil. 4 pens and 7 pencils cost ₹237 in all. What does one pencil cost (in ₹)?
13. 13.Rahul has 19 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
14. 14.Solve for x: 6(x + 1) = 5x + 11. What is x?
15. 15.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
16. 16.7 × ? − 25 = 10
17. 17.The length of a rectangle is 2 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
18. 18.A pen costs ₹9 more than a pencil. 4 pens and 6 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
19. 19.I think of a number, multiply it by 2 and then add 27. The answer is 61. What is my number?
20. 20.Solve for x: 5(x + 4) = 4x + 26. What is x?
21. 21.Solve for x: 4(x + 7) = x + 73. What is x?
22. 22.Solve for x: 6(x + 7) = 5x + 57. What is x?
23. 23.I think of a number, multiply it by 6 and then add 38. The answer is 170. What is my number?
24. 24.The length of a rectangle is 3 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
25. 25.Solve for x: 6(x + 9) = 2x + 126. What is x?
26. 26.Solve for x: 3(x + 5) = 2x + 20. What is x?
27. 27.2 × ? + 16 = 22
28. 28.A pen costs ₹7 more than a pencil. 3 pens and 2 pencils cost ₹61 in all. What does one pencil cost (in ₹)?
29. 29.Farhan has 19 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
30. 30.A pen costs ₹7 more than a pencil. 4 pens and 8 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
31. 31.The length of a rectangle is 13 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
32. 32.5 × ? − 4 = 116
33. 33.Nisha has 26 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
34. 34.Solve for x: 5(x + 7) = x + 103. What is x?
35. 35.I think of a number, multiply it by 4 and then take away 4. The answer is 56. What is my number?
36. 36.Solve for x: 5(x + 7) = x + 83. What is x?
37. 37.Solve for x: 6(x + 6) = 5x + 37. What is x?
38. 38.A pen costs ₹6 more than a pencil. 5 pens and 3 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
39. 39.I think of a number, multiply it by 5 and then add 23. The answer is 58. What is my number?
40. 40.A pen costs ₹2 more than a pencil. 4 pens and 4 pencils cost ₹88 in all. What does one pencil cost (in ₹)?

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