Question

Two years ago a man was 5 times as old as his son. Two years later his age will be 8 more than three times the age of son. Present age of father is _________years.
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Answer 1

Answer:

Let the age of father is x years and that of son is y years.

Then by the given question,

x-2=5(y-2)

or, x-5y=-10+2

or, x-5y=-8

or, x=5y-8

x+2=3(y+2)+8

or, x-3y=6+8-2

or, 5y-8-3y=12

or, 2y=12+8

or, y=20/2

or, y=10

then x=5y-8=50-8=42

Then, the age of father is 42 yrs. and the age of sun is 10 yrs.