Multiple choice

Five year hence father's age will be three times the age his son. Five years ago, father was seven times as old as his son. Find the present age of father.

  1. 32 year

  2. 40 year

  3. 38 year

  4. 46 year
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let f = father's present age, s = son's present age. From 'five years hence father will be three times the age his son': (f + 5) = 3(s + 5) → f + 5 = 3s + 15 → f - 3s = 10. From 'five years ago father was seven times as old as his son': (f - 5) = 7(s - 5) → f - 5 = 7s - 35 → f - 7s = -30. Subtracting: (f - 3s) - (f - 7s) = 10 - (-30) → 4s = 40 → s = 10. Then f = 3(10) + 5 = 40.

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