A father's age is four times his son's present age. After 18 years the
father's age will be twice his son's age. The father's and son's
present ages are respectively:
(A) 40, 10 yrs
(B) 32, 8 yrs
(C) 44, 11 yrs
(D) 36, 9 yrs
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Given,
A father's age is four times his son's present age.
After 18 years the father's age will be twice his son's age.
To Find,
The present age of the father's and son's .
Solution,
Suppose the son's present age is x years.
So as given father's current age will be 4x.
After 18 years son's age will be x+18 years and the father's age will be 4x+18.
But as per the given condition,
then,
4x+18=2×(x+18)
⇒4x+18=2x+36.
⇒2x=18.
⇒x=9.
So son's current age is 9 years and fathers current age is 9×4=36 years.
Hence, The father's and son's present ages are respectively (D) 36, 9 yrs.
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