Question

Ramesh father's present age is three times Ramesh's age. After 12 years, his father's age will be twice his age. Find their present ages

Answer 1

let the age of Ramesh's father be x

and Ramesh is y

now according to question ,


3 times Ramesh = his father age



3y = x --------(1)



now ,

after 12 years


situation will be


x+12 =y+12


now , according to question


his father age will be twice as Ramesh

( x+12 )= 2 (y+12) ------(2)

= x+12= 2y +24

=> x -2y = 12


from equation 1 we get


3y-2y = 12

y = 12 years



now x is three times of his son


so 3*12 => 36 years



hence , the Ramesh age is => 12 years


and father age will be = 36 years .



hope it helps :D



thanks

Answer 2

let Ramesh's age is 'x' and age of his father 'y'

y = 3x

and

y+12 = 2(x+12)

put y=3x

3x+12 = 2(x+12)
           = 2x+24

3x-2x = 24-12

x = 12

then

y = 3x = 3*12 = 36

present age of ramesh is 12 and age of his father is 36