Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 192 · 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.I think of a number, multiply it by 6 and then add 32. The answer is 182. What is my number?
2. 2.Solve for x: 5(x + 7) = 4x + 43. What is x?
3. 3.A pen costs ₹11 more than a pencil. 4 pens and 7 pencils cost ₹209 in all. What does one pencil cost (in ₹)?
4. 4.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹29 in all. What does one pencil cost (in ₹)?
5. 5.Solve for x: 9(x + 9) = 5x + 153. What is x?
6. 6.7 × ? + 14 = 28
7. 7.6 × ? − 16 = 26
8. 8.A pen costs ₹8 more than a pencil. 4 pens and 4 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
9. 9.7 × ? + 5 = 19
10. 10.The length of a rectangle is 13 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
11. 11.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
12. 12.Zoya has 28 coins, all ₹5 and ₹2 coins, worth ₹116 in all. How many ₹5 coins are there?
13. 13.The length of a rectangle is 11 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
14. 14.I think of a number, multiply it by 8 and then add 24. The answer is 216. What is my number?
15. 15.11 × ? + 6 = 138
16. 16.Aditya has 19 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
17. 17.A pen costs ₹4 more than a pencil. 4 pens and 8 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
18. 18.Solve for x: 9(x + 3) = 3x + 123. What is x?
19. 19.Vivaan has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
20. 20.Priya has 13 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
21. 21.12 × ? − 3 = 105
22. 22.I think of a number, multiply it by 8 and then add 29. The answer is 77. What is my number?
23. 23.8 × ? + 26 = 114
24. 24.Manav has 19 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
25. 25.Meera has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
26. 26.I think of a number, multiply it by 9 and then take away 11. The answer is 70. What is my number?
27. 27.I think of a number, multiply it by 5 and then add 2. The answer is 127. What is my number?
28. 28.I think of a number, multiply it by 5 and then take away 12. The answer is 38. What is my number?
29. 29.The length of a rectangle is 10 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
30. 30.Solve for x: 8(x + 1) = 6x + 36. What is x?
31. 31.A pen costs ₹13 more than a pencil. 3 pens and 2 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
32. 32.Arjun has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
33. 33.The length of a rectangle is 14 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
34. 34.Solve for x: 4(x + 5) = x + 65. What is x?
35. 35.The length of a rectangle is 2 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
36. 36.A pen costs ₹12 more than a pencil. 5 pens and 5 pencils cost ₹220 in all. What does one pencil cost (in ₹)?
37. 37.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
38. 38.I think of a number, multiply it by 3 and then add 38. The answer is 113. What is my number?
39. 39.4 × ? + 12 = 32
40. 40.I think of a number, multiply it by 3 and then add 10. The answer is 40. What is my number?

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