Multiple choice

Five year ago, the age of a man was seven times the age of his son. The age of the man will be three times the age of his son in five year from now. The present age of the man and his son respectively are

  1. 68 year and 14 year

  2. 55 year and 15 year

  3. 54 year and 12 year

  4. 40 year and 10 year
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let present age of son = x Age of son before 5 years = x - 5 So, Present age of father = 7(x - 5) + 5 ……… (i) Age of son after 5 years = x + 5 Age of father after 5 years = 3(x + 5) So, present age of father = 3(x + 5) - 5 ……….(ii) Equating age of father, i.e. (i) and (ii):  7(x - 5) + 5 = 3(x + 5) - 5 7x – 35 + 5 = 3x + 15 - 5 7x - 3x = 15 - 5 + 35 - 5 4x = 40 x = 40/4. x (son) = 10, Father (3(10 + 5) - 5) =  40 years

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