Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 845 · 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.I think of a number, multiply it by 8 and then take away 35. The answer is 157. What is my number?
2. 2.Solve for x: 4(x + 2) = 2x + 26. What is x?
3. 3.The length of a rectangle is 13 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
4. 4.Solve for x: 7(x + 9) = 4x + 114. What is x?
5. 5.Kabir has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
6. 6.9 × ? − 8 = 28
7. 7.Dev has 21 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
8. 8.A pen costs ₹12 more than a pencil. 6 pens and 3 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
9. 9.A pen costs ₹9 more than a pencil. 4 pens and 4 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
10. 10.A pen costs ₹11 more than a pencil. 6 pens and 3 pencils cost ₹201 in all. What does one pencil cost (in ₹)?
11. 11.Saanvi has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
12. 12.Solve for x: 3(x + 1) = 2x + 4. What is x?
13. 13.The length of a rectangle is 8 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
14. 14.6 × ? − 1 = 107
15. 15.I think of a number, multiply it by 4 and then take away 30. The answer is 42. What is my number?
16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
17. 17.Solve for x: 4(x + 7) = 2x + 32. What is x?
18. 18.Diya has 29 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
19. 19.I think of a number, multiply it by 2 and then take away 10. The answer is 18. What is my number?
20. 20.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
21. 21.Solve for x: 7(x + 5) = 3x + 103. What is x?
22. 22.I think of a number, multiply it by 7 and then take away 6. The answer is 204. What is my number?
23. 23.12 × ? + 7 = 199
24. 24.3 × ? − 29 = 34
25. 25.The length of a rectangle is 11 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
26. 26.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
27. 27.A pen costs ₹7 more than a pencil. 6 pens and 3 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
28. 28.Meera has 26 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
29. 29.Solve for x: 5(x + 9) = 3x + 53. What is x?
30. 30.4 × ? − 7 = 37
31. 31.Zoya has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
32. 32.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
33. 33.A pen costs ₹3 more than a pencil. 5 pens and 2 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
34. 34.Solve for x: 4(x + 3) = 3x + 30. What is x?
35. 35.10 × ? − 14 = 46
36. 36.Solve for x: 8(x + 2) = x + 23. What is x?
37. 37.I think of a number, multiply it by 6 and then add 8. The answer is 152. What is my number?
38. 38.The length of a rectangle is 3 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
39. 39.Ananya has 21 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
40. 40.Solve for x: 4(x + 6) = 2x + 28. What is x?

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