Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 741 · 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. 1.5 × ? + 13 = 28
2. 2.9 × ? − 30 = 114
3. 3.I think of a number, multiply it by 5 and then add 1. The answer is 11. What is my number?
4. 4.The length of a rectangle is 11 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
5. 5.Rohan has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
6. 6.Solve for x: 7(x + 4) = 4x + 46. What is x?
7. 7.I think of a number, multiply it by 4 and then take away 34. The answer is 42. What is my number?
8. 8.A pen costs ₹8 more than a pencil. 4 pens and 3 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
9. 9.A pen costs ₹2 more than a pencil. 4 pens and 4 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
10. 10.I think of a number, multiply it by 6 and then add 33. The answer is 183. What is my number?
11. 11.Solve for x: 7(x + 4) = 4x + 34. What is x?
12. 12.2 × ? + 17 = 21
13. 13.8 × ? + 4 = 196
14. 14.I think of a number, multiply it by 8 and then add 34. The answer is 106. What is my number?
15. 15.I think of a number, multiply it by 8 and then take away 7. The answer is 41. What is my number?
16. 16.Zoya has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
17. 17.The length of a rectangle is 6 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
18. 18.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
19. 19.5 × ? + 3 = 78
20. 20.I think of a number, multiply it by 6 and then take away 6. The answer is 78. What is my number?
21. 21.Solve for x: 5(x + 3) = x + 23. What is x?
22. 22.I think of a number, multiply it by 8 and then add 13. The answer is 101. What is my number?
23. 23.A pen costs ₹5 more than a pencil. 5 pens and 7 pencils cost ₹217 in all. What does one pencil cost (in ₹)?
24. 24.The length of a rectangle is 6 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
25. 25.Solve for x: 3(x + 6) = 2x + 27. What is x?
26. 26.The length of a rectangle is 8 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
27. 27.3 × ? + 10 = 19
28. 28.4 × ? + 10 = 58
29. 29.A pen costs ₹4 more than a pencil. 2 pens and 8 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
30. 30.I think of a number, multiply it by 3 and then take away 7. The answer is 32. What is my number?
31. 31.I think of a number, multiply it by 7 and then take away 13. The answer is 155. What is my number?
32. 32.The length of a rectangle is 14 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
33. 33.Ananya has 25 coins, all ₹5 and ₹2 coins, worth ₹113 in all. How many ₹5 coins are there?
34. 34.Solve for x: 9(x + 7) = x + 71. What is x?
35. 35.Karan has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
36. 36.I think of a number, multiply it by 5 and then take away 12. The answer is 108. What is my number?
37. 37.The length of a rectangle is 14 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
38. 38.Rohan has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
39. 39.Ananya has 19 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
40. 40.Rahul has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?

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