Question

if twice the son's age is added to the father 's age ,the sum is 70. but if twice the father's age is added to son's age,the sum is 95.then the age of the father is?

Answer 1

40 should be correct one

Answer 2

Heyaa user!!!
--------------------------------------------------
Good morning!!!!
--------------------------------------------------
Here's your answer :-

Let the son's age be x yrs and the Father's age be y yrs....

Then,

ATQ,.

It is said that if twice son's age i. e. 2x is added to father's age i. e. y we get, the summation as 70

=>2x+y=70

Now, multiplying both sides by 2, we get :-

4x+2y=140. ..........(i)

Also, it is said that if twice the age of father i. e. 2y is added to son's i. e x, it's summation is 95..

=>2y+x=95. ............(i)

Equating the two equations, we get :-

4x+2y-2y-x=140-95

=>3x=45

=>x=15

Now putting the value of x =15 in any of the two equations, we get y=45 ....

Therefore age of father =45yrs......

Hope this satisfies your query!!!

Good luck :-)