Algebra – Linear Equation Word Problems Worksheet 2

  1. A number is 3 more than twice another number. The sum is 45. Find the numbers.
  2. The sum of three consecutive even numbers is 84. Find the numbers.
  3. The sum of two numbers is 67. One is 9 more than twice the other. Find both.
  4. Three consecutive integers add up to 117. Find them.
  5. Four times a number decreased by 7 gives 53. Find the number.
  6. A father is 4 times as old as his son. In 8 years, he will be 3 times as old. Find their ages.
  7. A number exceeds its one-third by 28. Find the number.
  8. Divide 200 into two parts such that one is 5 less than twice the other.
  9. The sum of three consecutive multiples of 6 is 150. Find them.
  10. If 5 is subtracted from a number and the result is multiplied by 4, we get 52. Find the number.
  11. The length of a rectangle is twice its breadth. Perimeter is 60 cm. Find its area.
  12. A number when multiplied by 8 and then decreased by 15 gives 65. Find the number.
  13. A fruit seller sold 5 apples more than twice the number of oranges. Total fruits sold were 67. Find apples and oranges sold.
  14. The sum of ages of two sisters is 42. After 5 years the elder will be twice the younger. Find present ages.
  15. A number plus 15 is equal to twice the number minus 9. Find the number.
  16. A number is 12 more than one-fifth of itself. Find the number.
  17. The sum of four consecutive odd numbers is 92. Find them.
  18. Three times a number added to 14 gives the same result as five times the number decreased by 6. Find the number.
  19. The perimeter of a triangle is 48 cm. The second side is 2 cm more than the first and the third is 4 cm more than twice the first. Find the sides.
  20. A shopkeeper bought pens for ₹250 and sold them at ₹300. The profit per pen is ₹2. How many pens were sold?
  21. A number is such that 4 times it decreased by 3 equals its double increased by 21. Find the number.
  22. A man is 7 years older than his wife. 7 years ago he was twice as old as she was. Find their ages.
  23. If twice a number is divided by 5, we get 18. Find the number.
  24. A number is 21 less than its triple. Find the number.
  25. The sum of three consecutive multiples of 9 is 243. Find them.
  26. If 3 is added to one-third of a number, the result is 21. Find the number.
  27. A number is 5 less than 3 times another. Their sum is 70. Find the numbers.
  28. The length of a rectangle exceeds its breadth by 7 cm. Its area is 180 cm². Find its dimensions.
  29. Raj is 4 years older than Ravi. The sum of their ages is 40. Find their ages.
  30. Four times a number decreased by 5 equals three times the number plus 10. Find the number.
  31. A number is such that half of it minus 11 gives 20. Find the number.
  32. The sum of two consecutive numbers is 131. Find the numbers.
  33. The perimeter of a rectangle is 72 cm. Length is 4 cm more than twice breadth. Find its dimensions.
  34. A piece of ribbon 95 cm long is cut into two pieces. One piece is 13 cm more than the other. Find lengths.
  35. You buy 8 notebooks and 5 pens for ₹260. Each pen costs ₹12. Find cost of one notebook.
  36. A number added to its half gives 72. Find the number.
  37. The sum of ages of mother and daughter is 50. In 6 years, mother will be twice daughter’s age. Find their present ages.
  38. One number is thrice another. The difference between them is 36. Find both.
  39. If a number is multiplied by 7 and 8 is subtracted, the result is 48. Find the number.
  40. The sum of 4 consecutive integers is 62. Find the integers.
  41. Perimeter of an isosceles triangle is 42 cm. Base is 6 cm less than each equal side. Find sides.
  42. Three times a number is 5 more than twice the number. Find the number.
  43. When 4 is added to twice a number, the result is 34. Find the number.
  44. A number is 2 more than one-fourth of 60. Find the number.
  45. A man spent ₹2400 and saved ₹600. If he spends 4 times what he saves, find his monthly income.
  46. The sum of two numbers is 86. One is 10 more than the other. Find the numbers.
  47. Six added to thrice a number makes 42. Find the number.
  48. The difference of three consecutive integers is 2 but their sum is 81. Find the integers.
  49. A number minus 5 is equal to 3 times the number minus 29. Find the number.
  50. The sum of three consecutive even numbers is 180. Find the numbers.

Leave a Comment

Your email address will not be published. Required fields are marked *

Scroll to Top