Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 188 · 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 5 and then take away 14. The answer is 76. What is my number?
2. 2.The length of a rectangle is 8 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
3. 3.A pen costs ₹8 more than a pencil. 3 pens and 8 pencils cost ₹244 in all. What does one pencil cost (in ₹)?
4. 4.Solve for x: 5(x + 9) = 4x + 60. What is x?
5. 5.A pen costs ₹6 more than a pencil. 6 pens and 8 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
6. 6.I think of a number, multiply it by 4 and then take away 5. The answer is 39. What is my number?
7. 7.2 × ? + 9 = 55
8. 8.Manav has 13 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
9. 9.8 × ? + 8 = 208
10. 10.The length of a rectangle is 7 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
11. 11.I think of a number, multiply it by 8 and then take away 37. The answer is 3. What is my number?
12. 12.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
13. 13.I think of a number, multiply it by 7 and then take away 28. The answer is 77. What is my number?
14. 14.Solve for x: 9(x + 2) = 6x + 27. What is x?
15. 15.10 × ? + 16 = 196
16. 16.I think of a number, multiply it by 8 and then take away 33. The answer is 143. What is my number?
17. 17.3 × ? + 16 = 25
18. 18.Dev has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
19. 19.6 × ? + 3 = 15
20. 20.I think of a number, multiply it by 8 and then take away 3. The answer is 45. What is my number?
21. 21.A pen costs ₹11 more than a pencil. 6 pens and 6 pencils cost ₹246 in all. What does one pencil cost (in ₹)?
22. 22.I think of a number, multiply it by 4 and then add 2. The answer is 122. What is my number?
23. 23.11 × ? − 25 = 140
24. 24.Priya has 9 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
25. 25.The length of a rectangle is 14 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
26. 26.Solve for x: 4(x + 3) = 3x + 13. What is x?
27. 27.Karan has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
28. 28.Tara has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
29. 29.Vivaan has 13 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
30. 30.Solve for x: 6(x + 1) = 5x + 18. What is x?
31. 31.The length of a rectangle is 12 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
32. 32.I think of a number, multiply it by 2 and then take away 8. The answer is 18. What is my number?
33. 33.The length of a rectangle is 10 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
34. 34.A pen costs ₹7 more than a pencil. 3 pens and 3 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
35. 35.I think of a number, multiply it by 4 and then take away 13. The answer is 19. What is my number?
36. 36.10 × ? − 15 = 55
37. 37.6 × ? − 7 = 53
38. 38.Kavya has 20 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
39. 39.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
40. 40.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹86 in all. What does one pencil cost (in ₹)?

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