Question

If twice the son's age be added to the father's age, the sum is 70 years and if twice the father's age is added to the son's age, the sum is 95 years. Then father's age is :

Answer 1

Answer:

Let the father's age be x

Let the son's age be y

So, first : x+2y=70yrs. ------------1st eq

Second; 2x+y=95yrs ------------2nd eq

From 1st eq: x=70-2y

Putting it in 2nd eq;

2(70-2y)+y=95

140-4y+y=95

-3y=95-140

-3y= -45

Y= -45/-3

Y=15 yrs

Putting it in 1st eq;

X+2(15)=70

X+30=70

X=70-30

X=40yrs

So father's age is x , that is 40 years