Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 652 · 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.A pen costs ₹4 more than a pencil. 5 pens and 4 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
2. 2.11 × ? − 11 = 209
3. 3.5 × ? − 25 = 70
4. 4.I think of a number, multiply it by 4 and then add 15. The answer is 103. What is my number?
5. 5.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
6. 6.A pen costs ₹6 more than a pencil. 2 pens and 4 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
7. 7.3 × ? − 8 = 1
8. 8.A pen costs ₹7 more than a pencil. 6 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
9. 9.The length of a rectangle is 12 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
10. 10.Ananya has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
11. 11.I think of a number, multiply it by 7 and then take away 2. The answer is 180. What is my number?
12. 12.8 × ? + 19 = 35
13. 13.4 × ? − 27 = 57
14. 14.Tara has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
15. 15.2 × ? + 29 = 73
16. 16.Solve for x: 6(x + 4) = x + 44. What is x?
17. 17.I think of a number, multiply it by 5 and then add 1. The answer is 41. What is my number?
18. 18.A pen costs ₹6 more than a pencil. 5 pens and 6 pencils cost ₹173 in all. What does one pencil cost (in ₹)?
19. 19.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
20. 20.Solve for x: 9(x + 6) = x + 158. What is x?
21. 21.Kavya has 22 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
22. 22.Solve for x: 7(x + 8) = 5x + 86. What is x?
23. 23.A pen costs ₹15 more than a pencil. 4 pens and 6 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
24. 24.A pen costs ₹3 more than a pencil. 5 pens and 4 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
25. 25.I think of a number, multiply it by 6 and then add 13. The answer is 79. What is my number?
26. 26.Solve for x: 8(x + 6) = 6x + 74. What is x?
27. 27.A pen costs ₹10 more than a pencil. 5 pens and 7 pencils cost ₹206 in all. What does one pencil cost (in ₹)?
28. 28.Kavya has 25 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
29. 29.6 × ? + 2 = 14
30. 30.I think of a number, multiply it by 9 and then add 31. The answer is 58. What is my number?
31. 31.Meera has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
32. 32.Solve for x: 6(x + 4) = 2x + 88. What is x?
33. 33.Meera has 16 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
34. 34.The length of a rectangle is 8 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
35. 35.A pen costs ₹13 more than a pencil. 6 pens and 4 pencils cost ₹238 in all. What does one pencil cost (in ₹)?
36. 36.I think of a number, multiply it by 2 and then take away 6. The answer is 54. What is my number?
37. 37.Diya has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
38. 38.Solve for x: 8(x + 4) = 3x + 127. What is x?
39. 39.The length of a rectangle is 6 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
40. 40.I think of a number, multiply it by 5 and then add 15. The answer is 60. What is my number?

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