Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 166 · 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.Aarav has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
2. 2.The length of a rectangle is 2 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
3. 3.I think of a number, multiply it by 8 and then add 10. The answer is 162. What is my number?
4. 4.8 × ? − 17 = 71
5. 5.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
6. 6.I think of a number, multiply it by 3 and then take away 3. The answer is 12. What is my number?
7. 7.I think of a number, multiply it by 3 and then add 33. The answer is 99. What is my number?
8. 8.The length of a rectangle is 2 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
9. 9.I think of a number, multiply it by 9 and then add 2. The answer is 245. What is my number?
10. 10.12 × ? + 9 = 153
11. 11.Solve for x: 6(x + 1) = x + 21. What is x?
12. 12.I think of a number, multiply it by 6 and then take away 8. The answer is 10. What is my number?
13. 13.5 × ? − 10 = 90
14. 14.Solve for x: 3(x + 8) = 2x + 32. What is x?
15. 15.Solve for x: 9(x + 1) = 3x + 69. What is x?
16. 16.Vivaan has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
17. 17.I think of a number, multiply it by 9 and then take away 1. The answer is 224. What is my number?
18. 18.A pen costs ₹3 more than a pencil. 5 pens and 4 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
19. 19.The length of a rectangle is 2 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
20. 20.I think of a number, multiply it by 8 and then take away 21. The answer is 195. What is my number?
21. 21.A pen costs ₹11 more than a pencil. 5 pens and 3 pencils cost ₹183 in all. What does one pencil cost (in ₹)?
22. 22.Solve for x: 4(x + 7) = 2x + 42. What is x?
23. 23.11 × ? + 5 = 104
24. 24.A pen costs ₹4 more than a pencil. 2 pens and 8 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
25. 25.The length of a rectangle is 8 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
26. 26.Ananya has 19 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
27. 27.The length of a rectangle is 10 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
28. 28.I think of a number, multiply it by 9 and then add 9. The answer is 27. What is my number?
29. 29.Solve for x: 5(x + 1) = x + 17. What is x?
30. 30.3 × ? + 16 = 25
31. 31.Aditya has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
32. 32.I think of a number, multiply it by 4 and then take away 14. The answer is 42. What is my number?
33. 33.The length of a rectangle is 3 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
34. 34.7 × ? + 17 = 52
35. 35.3 × ? + 24 = 45
36. 36.A pen costs ₹7 more than a pencil. 6 pens and 6 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
37. 37.I think of a number, multiply it by 5 and then add 40. The answer is 160. What is my number?
38. 38.The length of a rectangle is 9 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
39. 39.12 × ? − 4 = 116
40. 40.A pen costs ₹11 more than a pencil. 4 pens and 2 pencils cost ₹128 in all. What does one pencil cost (in ₹)?

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