Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 200 · 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. 2 pens and 4 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
2. 2.9 × ? − 17 = 109
3. 3.5 × ? − 18 = 17
4. 4.Solve for x: 4(x + 3) = 2x + 18. What is x?
5. 5.Ishaan has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
6. 6.Manav has 30 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
7. 7.I think of a number, multiply it by 5 and then add 26. The answer is 171. What is my number?
8. 8.4 × ? + 28 = 84
9. 9.Sneha has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
10. 10.A pen costs ₹9 more than a pencil. 6 pens and 3 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
11. 11.Arjun has 20 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
12. 12.A pen costs ₹6 more than a pencil. 2 pens and 7 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
13. 13.I think of a number, multiply it by 2 and then take away 25. The answer is 17. What is my number?
14. 14.Meera has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
15. 15.Solve for x: 8(x + 8) = x + 113. What is x?
16. 16.3 × ? + 20 = 89
17. 17.A pen costs ₹12 more than a pencil. 2 pens and 7 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
18. 18.I think of a number, multiply it by 9 and then add 12. The answer is 111. What is my number?
19. 19.Solve for x: 4(x + 2) = x + 44. What is x?
20. 20.I think of a number, multiply it by 9 and then add 5. The answer is 140. What is my number?
21. 21.8 × ? − 29 = 19
22. 22.Solve for x: 3(x + 1) = 2x + 21. What is x?
23. 23.A pen costs ₹3 more than a pencil. 3 pens and 5 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
24. 24.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
25. 25.A pen costs ₹8 more than a pencil. 2 pens and 7 pencils cost ₹43 in all. What does one pencil cost (in ₹)?
26. 26.The length of a rectangle is 5 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
27. 27.8 × ? − 20 = 28
28. 28.A pen costs ₹15 more than a pencil. 6 pens and 3 pencils cost ₹243 in all. What does one pencil cost (in ₹)?
29. 29.I think of a number, multiply it by 9 and then add 27. The answer is 225. What is my number?
30. 30.Arjun has 23 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
31. 31.The length of a rectangle is 5 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
32. 32.7 × ? − 13 = 99
33. 33.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
34. 34.I think of a number, multiply it by 5 and then add 17. The answer is 72. What is my number?
35. 35.The length of a rectangle is 10 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
36. 36.The length of a rectangle is 9 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
37. 37.Aarav has 24 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
38. 38.Solve for x: 6(x + 1) = 5x + 17. What is x?
39. 39.I think of a number, multiply it by 6 and then add 7. The answer is 55. What is my number?
40. 40.The length of a rectangle is 5 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?

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