Question

the sum of fathers age and twice the age of his son is 70 if we double the age of father and add to the age of his son the sum is 95 find their present ages
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Answer 1

Answer:

Let the Father's age be x

Let the son's age be y

Now, according to first condition

x+2y=70-------(1)

According to second condition

2x+y=95-------(2)

Multiplying the equation (2) by 2

2*2x+2*y=95*2

4x+2y=190------(3)

Subtracting equation (1) from (3)

4x+2y=190

-x-2y=-70

________

3x=120

x=120/3

x=40

Substituting x=40 in equation (1)

x+2y=70

40+2y=70

2y=70-40

2y=30

y=30/2

y=15

Therefore, the present age of father is 40 years and the present age of son is 15 years.