Find Out The Present Age of The Father and Son?

Five years ago, the age of father was 7 times of his son. After five years, the age of the father will be 3 times of the age of the son. Find out the present age of the father and son.

  1. 36 years and 12 years
  2. 49 years and 7 years
  3. 20 years and 8 years
  4. 40 years and 10 years
Anurag Mishra Professor Asked on 6th September 2015 in Maths.
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1 Answer(s)

Answer:  (4) 40 years and 10 years
Explanation:-

Let the age of father be X years and the age of his son is Y years.
Five years ago,
(X – 5) = 7(Y – 5)
X – 5 = 7Y – 35
X – 7Y = -35 + 5
X – 7Y = -30  ……………… (1)

According to second condition,
After five years,
(X + 5) = 3(Y + 5)
X + 5 = 3Y + 15
X – 3Y = 15 – 5
X – 3Y = 10 ………………….. (2)
Equation (1) is subtract from equation (2),
Then,
X – 3Y –X + 7Y = 10 + 30
4Y = 40
Y = 40/4
Y = 10 years
Put the value of Y = 10 in equation (2),
X – 3 x 10 = 10
X = 10 + 30
X = 40 years.

Then, the present age of father is Y = 40 years and the present age of his son is X = 10 years

Hence, the answer is (4) 40 years and 10 years.

Anurag Mishra Professor Answered on 7th September 2015.
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