Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 336 · 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.Ishaan has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
2. 2.I think of a number, multiply it by 5 and then add 4. The answer is 94. What is my number?
3. 3.Solve for x: 4(x + 9) = 2x + 58. What is x?
4. 4.A pen costs ₹7 more than a pencil. 2 pens and 8 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
5. 5.A pen costs ₹14 more than a pencil. 4 pens and 3 pencils cost ₹189 in all. What does one pencil cost (in ₹)?
6. 6.The length of a rectangle is 7 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
7. 7.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
8. 8.The length of a rectangle is 15 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
9. 9.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
10. 10.I think of a number, multiply it by 9 and then add 18. The answer is 72. What is my number?
11. 11.I think of a number, multiply it by 3 and then add 3. The answer is 69. What is my number?
12. 12.The length of a rectangle is 15 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
13. 13.I think of a number, multiply it by 3 and then take away 16. The answer is 26. What is my number?
14. 14.Rohan has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
15. 15.4 × ? + 23 = 63
16. 16.Kabir has 23 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
17. 17.I think of a number, multiply it by 7 and then take away 28. The answer is 98. What is my number?
18. 18.A pen costs ₹10 more than a pencil. 5 pens and 2 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
19. 19.6 × ? + 17 = 65
20. 20.A pen costs ₹6 more than a pencil. 4 pens and 3 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
21. 21.Solve for x: 3(x + 8) = 2x + 28. What is x?
22. 22.The length of a rectangle is 7 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
23. 23.The length of a rectangle is 11 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
24. 24.I think of a number, multiply it by 6 and then take away 8. The answer is 166. What is my number?
25. 25.Diya has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
26. 26.A pen costs ₹3 more than a pencil. 5 pens and 7 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
27. 27.A pen costs ₹9 more than a pencil. 2 pens and 6 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
28. 28.I think of a number, multiply it by 8 and then take away 32. The answer is 72. What is my number?
29. 29.Solve for x: 5(x + 5) = 2x + 34. What is x?
30. 30.I think of a number, multiply it by 7 and then add 22. The answer is 106. What is my number?
31. 31.A pen costs ₹10 more than a pencil. 5 pens and 6 pencils cost ₹215 in all. What does one pencil cost (in ₹)?
32. 32.Solve for x: 4(x + 7) = 2x + 68. What is x?
33. 33.4 × ? − 21 = 79
34. 34.A pen costs ₹5 more than a pencil. 2 pens and 3 pencils cost ₹30 in all. What does one pencil cost (in ₹)?
35. 35.The length of a rectangle is 11 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
36. 36.Saanvi has 20 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
37. 37.Solve for x: 8(x + 1) = 3x + 18. What is x?
38. 38.I think of a number, multiply it by 2 and then add 28. The answer is 56. What is my number?
39. 39.Solve for x: 6(x + 6) = 5x + 43. What is x?
40. 40.Solve for x: 3(x + 1) = 2x + 17. What is x?

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