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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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.
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