Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 448 · 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: 3(x + 6) = x + 54. What is x?
2. 2.8 × ? + 10 = 194
3. 3.I think of a number, multiply it by 3 and then take away 37. The answer is 5. What is my number?
4. 4.A pen costs ₹14 more than a pencil. 3 pens and 7 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
5. 5.A pen costs ₹14 more than a pencil. 5 pens and 4 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
6. 6.Solve for x: 3(x + 1) = x + 5. What is x?
7. 7.I think of a number, multiply it by 2 and then take away 9. The answer is 23. What is my number?
8. 8.I think of a number, multiply it by 7 and then take away 20. The answer is 190. What is my number?
9. 9.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
10. 10.Kabir has 21 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
11. 11.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
12. 12.Solve for x: 8(x + 7) = x + 63. What is x?
13. 13.Solve for x: 5(x + 1) = x + 21. What is x?
14. 14.The length of a rectangle is 3 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
15. 15.2 × ? + 25 = 43
16. 16.Solve for x: 5(x + 6) = 3x + 38. What is x?
17. 17.4 × ? + 21 = 93
18. 18.I think of a number, multiply it by 2 and then take away 27. The answer is 9. What is my number?
19. 19.A pen costs ₹13 more than a pencil. 3 pens and 6 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
20. 20.The length of a rectangle is 14 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
21. 21.Solve for x: 4(x + 6) = x + 57. What is x?
22. 22.I think of a number, multiply it by 6 and then add 6. The answer is 132. What is my number?
23. 23.Vivaan has 26 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
24. 24.Solve for x: 4(x + 5) = 2x + 54. What is x?
25. 25.The length of a rectangle is 10 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
26. 26.I think of a number, multiply it by 6 and then add 7. The answer is 103. What is my number?
27. 27.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
28. 28.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
29. 29.11 × ? − 1 = 87
30. 30.Solve for x: 8(x + 9) = 5x + 99. What is x?
31. 31.Solve for x: 9(x + 4) = x + 44. What is x?
32. 32.The length of a rectangle is 7 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
33. 33.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
34. 34.I think of a number, multiply it by 8 and then add 5. The answer is 221. What is my number?
35. 35.A pen costs ₹10 more than a pencil. 5 pens and 2 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
36. 36.3 × ? − 28 = 47
37. 37.Isha has 21 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
38. 38.4 × ? + 16 = 112
39. 39.Solve for x: 6(x + 2) = 2x + 28. What is x?
40. 40.The length of a rectangle is 10 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?

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