Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 123 · 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.Solve for x: 8(x + 1) = x + 99. What is x?
2. 2.7 × ? + 24 = 66
3. 3.Kabir has 28 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
4. 4.I think of a number, multiply it by 9 and then add 5. The answer is 86. What is my number?
5. 5.Solve for x: 5(x + 2) = 2x + 16. What is x?
6. 6.Solve for x: 4(x + 8) = 3x + 42. What is x?
7. 7.Solve for x: 8(x + 2) = 4x + 68. What is x?
8. 8.The length of a rectangle is 2 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
9. 9.The length of a rectangle is 15 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
10. 10.The length of a rectangle is 4 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
11. 11.Isha has 19 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
13. 13.The length of a rectangle is 8 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
14. 14.5 × ? + 26 = 36
15. 15.The length of a rectangle is 8 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
16. 16.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
17. 17.I think of a number, multiply it by 3 and then take away 21. The answer is 69. What is my number?
18. 18.A pen costs ₹6 more than a pencil. 6 pens and 2 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
19. 19.Arjun has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
20. 20.The length of a rectangle is 14 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
21. 21.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
22. 22.The length of a rectangle is 14 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
23. 23.12 × ? − 23 = 253
24. 24.I think of a number, multiply it by 7 and then add 25. The answer is 235. What is my number?
25. 25.I think of a number, multiply it by 7 and then add 1. The answer is 92. What is my number?
26. 26.The length of a rectangle is 13 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
27. 27.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
28. 28.Solve for x: 4(x + 9) = 3x + 40. What is x?
29. 29.I think of a number, multiply it by 6 and then take away 23. The answer is 145. What is my number?
30. 30.2 × ? − 4 = 34
31. 31.I think of a number, multiply it by 9 and then add 9. The answer is 90. What is my number?
32. 32.A pen costs ₹14 more than a pencil. 4 pens and 6 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
33. 33.I think of a number, multiply it by 5 and then take away 5. The answer is 110. What is my number?
34. 34.A pen costs ₹4 more than a pencil. 5 pens and 8 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
35. 35.Rohan has 17 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
36. 36.A pen costs ₹3 more than a pencil. 4 pens and 3 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
37. 37.Solve for x: 9(x + 2) = 3x + 96. What is x?
38. 38.A pen costs ₹14 more than a pencil. 3 pens and 5 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
39. 39.Solve for x: 6(x + 6) = x + 46. What is x?
40. 40.The length of a rectangle is 3 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?

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