Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 953 · 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.The length of a rectangle is 12 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
2. 2.The length of a rectangle is 11 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
3. 3.Aditya has 16 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
4. 4.Solve for x: 3(x + 1) = x + 7. What is x?
5. 5.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
6. 6.A pen costs ₹10 more than a pencil. 3 pens and 8 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
7. 7.Solve for x: 9(x + 7) = x + 191. What is x?
8. 8.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
9. 9.The length of a rectangle is 8 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
10. 10.Solve for x: 5(x + 1) = 3x + 43. What is x?
11. 11.Solve for x: 9(x + 6) = 3x + 132. What is x?
12. 12.I think of a number, multiply it by 8 and then add 25. The answer is 233. What is my number?
13. 13.7 × ? + 9 = 100
14. 14.A pen costs ₹9 more than a pencil. 5 pens and 5 pencils cost ₹175 in all. What does one pencil cost (in ₹)?
15. 15.A pen costs ₹3 more than a pencil. 5 pens and 6 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
16. 16.Solve for x: 7(x + 9) = 5x + 99. What is x?
17. 17.Tara has 30 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
18. 18.I think of a number, multiply it by 4 and then take away 7. The answer is 73. What is my number?
19. 19.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
20. 20.6 × ? + 12 = 36
21. 21.Nisha has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
22. 22.Kabir has 24 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
23. 23.Solve for x: 4(x + 4) = 3x + 23. What is x?
24. 24.6 × ? − 16 = 32
25. 25.8 × ? + 16 = 160
26. 26.11 × ? + 24 = 57
27. 27.Solve for x: 5(x + 5) = 3x + 49. What is x?
28. 28.Pooja has 21 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
29. 29.The length of a rectangle is 2 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
30. 30.I think of a number, multiply it by 2 and then take away 25. The answer is 1. What is my number?
31. 31.12 × ? − 7 = 197
32. 32.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
33. 33.A pen costs ₹2 more than a pencil. 4 pens and 8 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
34. 34.Solve for x: 5(x + 2) = x + 62. What is x?
35. 35.The length of a rectangle is 7 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
36. 36.Aarav has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
37. 37.A pen costs ₹8 more than a pencil. 6 pens and 6 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
38. 38.2 × ? + 26 = 58
39. 39.Solve for x: 8(x + 5) = 4x + 116. What is x?
40. 40.I think of a number, multiply it by 7 and then take away 34. The answer is 36. What is my number?

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