Algebra – Linear Equation Word Problems Worksheet 1

  1. Twelve more than a number is 72. Find the number.
  2. One-fourth of a number is 6 less than half of the number. Find the number.
  3. The sum of two consecutive integers is 99. Find the numbers.
  4. The sum of two consecutive even numbers is 50. Find them.
  5. The sum of three consecutive multiples of 5 is 105. Find them.
  6. Divide 84 into two parts such that one part is twice the other.
  7. The perimeter of a rectangle is 46 cm. If length is 3 cm more than breadth, find the area.
  8. A father is 5 times as old as his daughter. After 10 years, he will be 3 times as old. Find their present ages.
  9. The sum of two brothers’ ages is 40. The elder is 4 years older. Find their ages.
  10. A number is 9 less than twice the number. Find the number.
  11. Seven more than three times a number is 52. Find the number.
  12. Twice a number is 18 more than the number. Find the number.
  13. The sum of two consecutive odd numbers is 96. Find the numbers.
  14. A number when subtracted from 35 gives 18. Find the number.
  15. One-third of a number added to 8 is 20. Find the number.
  16. The perimeter of a square is 64 cm. Find the side.
  17. Divide 100 into two parts such that one part is 10 more than the other.
  18. The length of a rectangle is 4 cm less than twice the breadth. If perimeter is 56 cm, find the dimensions.
  19. The sum of three consecutive integers is 36. Find them.
  20. A number exceeds 25 by 13. Find the number.
  21. When 6 is added to thrice a number, the result is 48. Find the number.
  22. One-sixth of a number plus 7 equals 15. Find the number.
  23. The sum of two consecutive even numbers is 82. Find them.
  24. A number is 20 more than its half. Find the number.
  25. The sum of ages of mother and daughter is 56. Mother is twice as old. Find ages.
  26. The perimeter of a rectangle is 40 cm. If length is 5 cm more than breadth, find area.
  27. The sum of three consecutive multiples of 7 is 105. Find them.
  28. A number minus 15 gives 23. Find the number.
  29. A number divided by 4 gives 12. Find the number.
  30. The sum of two numbers is 70. One is 8 less than the other. Find both numbers.
  31. A number increased by 17 becomes 49. Find the number.
  32. Twice a number minus 5 gives 47. Find the number.
  33. The sum of two consecutive odd numbers is 108. Find them.
  34. The length of a rectangle is 6 cm more than the breadth. Perimeter = 64 cm. Find area.
  35. Divide 150 into two parts such that one part is 3 times the other.
  36. A number is such that when 9 is subtracted from half of it, the result is 12. Find the number.
  37. Three times a number plus 4 is 40. Find the number.
  38. The sum of ages of two friends is 34. One is 4 years older. Find ages.
  39. A number is 11 more than three-fourths of the number. Find the number.
  40. A number is 3 less than twice a number. Find the number.
  41. The sum of three consecutive odd numbers is 75. Find them.
  42. A number multiplied by 3 gives 81. Find the number.
  43. When 14 is added to a number, it becomes 29. Find the number.
  44. The difference between two consecutive integers is 1. Their sum is 51. Find them.
  45. Twice a number increased by 10 becomes 42. Find the number.
  46. The perimeter of a rectangle is 90 cm. Breadth = 12 cm. Find length & area.
  47. Divide 200 into two parts such that one part is 40 more than the other.
  48. The sum of four consecutive integers is 58. Find them.
  49. Three times a number exceeds the number by 28. Find the number.
  50. A number is decreased by 18 and the result is 10. Find the number.

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