Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 32 · 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.A pen costs ₹6 more than a pencil. 5 pens and 7 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
2. 2.4 × ? + 25 = 49
3. 3.8 × ? + 5 = 133
4. 4.Solve for x: 8(x + 8) = 4x + 132. What is x?
5. 5.Solve for x: 4(x + 4) = 3x + 31. What is x?
6. 6.I think of a number, multiply it by 2 and then add 38. The answer is 84. What is my number?
7. 7.7 × ? − 30 = 124
8. 8.Arjun has 23 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
9. 9.A pen costs ₹12 more than a pencil. 5 pens and 3 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
10. 10.Ishaan has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
11. 11.Arjun has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
12. 12.Solve for x: 3(x + 6) = 2x + 33. What is x?
13. 13.The length of a rectangle is 12 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
14. 14.6 × ? + 25 = 115
15. 15.A pen costs ₹4 more than a pencil. 5 pens and 3 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
16. 16.The length of a rectangle is 2 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
17. 17.A pen costs ₹8 more than a pencil. 2 pens and 6 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
18. 18.11 × ? + 8 = 85
19. 19.12 × ? + 14 = 314
20. 20.Solve for x: 6(x + 1) = 3x + 24. What is x?
21. 21.The length of a rectangle is 13 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
22. 22.Karan has 29 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
23. 23.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
24. 24.Nisha has 25 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
25. 25.I think of a number, multiply it by 9 and then add 2. The answer is 20. What is my number?
26. 26.Arjun has 15 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
27. 27.I think of a number, multiply it by 7 and then take away 40. The answer is 163. What is my number?
28. 28.Solve for x: 7(x + 8) = 3x + 112. What is x?
29. 29.Solve for x: 7(x + 9) = 3x + 103. What is x?
30. 30.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
31. 31.A pen costs ₹9 more than a pencil. 3 pens and 3 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
32. 32.I think of a number, multiply it by 4 and then take away 29. The answer is 83. What is my number?
33. 33.The length of a rectangle is 4 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
34. 34.I think of a number, multiply it by 3 and then take away 15. The answer is 12. What is my number?
35. 35.The length of a rectangle is 8 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
36. 36.A pen costs ₹15 more than a pencil. 5 pens and 4 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
37. 37.I think of a number, multiply it by 6 and then add 4. The answer is 34. What is my number?
38. 38.The length of a rectangle is 13 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
39. 39.8 × ? + 27 = 171
40. 40.9 × ? + 11 = 155

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