Question

the sum of the ages of farhan and his cousin is 38. Seven years ago, Farhan was thrice as old as his cousin. Find farhan’s present age.​

Answer 1

Answer:-

Let the present age of Farhan be x years

and , the present age of his cousin be y years.

Now, according to the Question

It is given that the sum of age of Farhan & his cousin is 38 year

⟹ x + y = 38

⟹ x = 38-y ---------(i)

again, according to the 2nd condition

Seven years ago, Farhan was thrice as old as his cousin

⟹ (x -7) =3 (y-7)

⟹ x -7 = 3y -21

⟹ 38-y -7 = 3y -21 (From equation 1st)

⟹ 31+21 = 3y +y

⟹ 52 = 4y

⟹ 4y = 52

⟹ y = 52/4

⟹ y = 13

Now putting the value of y = 13 in equation (i) we get

⟹ x = 38-13

⟹ x = 25

Hence, 

the present age of Farhan is 25 years.

And , the Present age of his cousin is 13 years.