MathematicsIf twice the son’s age in years is added to the father’s age, the sum is 70. But if twice the father’s age is added to the son’s age, the sum is 95. Find the ages of father and son?

If twice the son’s age in years is added to the father’s age, the sum is 70. But if twice the father’s age is added to the son’s age, the sum is 95. Find the ages of father and son?

A
35, 14
B
40, 15
C
48, 17
D
None of these

Solution:

Currently, if father's age is x and son's age is y,
then given, x+2y=70 --- (1) 2x+y=95 --- (2)

Multiplying equation (1) with 2 we get, 2x+4y=140 --- (3)

Subtracting equation (2) from (3), we get 3y=45⇒y=15
Substituting y=15 in the equation (2), we get 2x+15= 95 ⇒x= 40
Hence, the father is 40 years old and the son is 15 years old
So, Option 2 is correct.

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