Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 576 · 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 7 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
2. 2.The length of a rectangle is 10 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
3. 3.The length of a rectangle is 14 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
4. 4.I think of a number, multiply it by 6 and then take away 10. The answer is 140. What is my number?
5. 5.A pen costs ₹8 more than a pencil. 5 pens and 7 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
6. 6.Solve for x: 9(x + 8) = 3x + 156. What is x?
7. 7.Farhan has 18 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
8. 8.Ananya has 17 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
9. 9.Zoya has 22 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
10. 10.Vivaan has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
11. 11.Solve for x: 6(x + 9) = 4x + 90. What is x?
12. 12.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
13. 13.The length of a rectangle is 4 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
14. 14.A pen costs ₹6 more than a pencil. 6 pens and 3 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
15. 15.4 × ? + 8 = 72
16. 16.I think of a number, multiply it by 6 and then take away 10. The answer is 14. What is my number?
17. 17.Solve for x: 9(x + 6) = 4x + 104. What is x?
18. 18.The length of a rectangle is 13 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
19. 19.Solve for x: 7(x + 2) = 6x + 27. What is x?
20. 20.The length of a rectangle is 6 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
21. 21.Diya has 14 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
22. 22.I think of a number, multiply it by 3 and then add 15. The answer is 48. What is my number?
23. 23.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
24. 24.5 × ? + 18 = 68
25. 25.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
26. 26.A pen costs ₹4 more than a pencil. 2 pens and 8 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
27. 27.A pen costs ₹12 more than a pencil. 4 pens and 3 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
28. 28.5 × ? − 24 = 46
29. 29.I think of a number, multiply it by 7 and then take away 11. The answer is 87. What is my number?
30. 30.Solve for x: 7(x + 9) = 6x + 68. What is x?
31. 31.Solve for x: 8(x + 6) = 6x + 76. What is x?
32. 32.A pen costs ₹8 more than a pencil. 2 pens and 6 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
33. 33.I think of a number, multiply it by 8 and then add 34. The answer is 202. What is my number?
34. 34.Solve for x: 5(x + 1) = 3x + 17. What is x?
35. 35.I think of a number, multiply it by 7 and then take away 25. The answer is 115. What is my number?
36. 36.Solve for x: 3(x + 8) = 2x + 37. What is x?
37. 37.A pen costs ₹10 more than a pencil. 4 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
38. 38.9 × ? − 29 = 133
39. 39.I think of a number, multiply it by 9 and then add 31. The answer is 49. What is my number?
40. 40.Solve for x: 4(x + 4) = 2x + 36. What is x?

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