4 years ago :_______________________________

let age of ram be = x yr

age of shyam =3/ 4 times of ram's age

= 3/ 4 x yr

_______________________________Present age : _______________________________present age of ram = ( x + 4 ) yr

present age of shyam = ( 3/ 4 x + 4 ) yr

_______________________________4 years hence :_______________________________

age of ram = ( x + 4 + 4 ) yr

age of shyam = 3 / 4 x + 4 + 4

_______________________________

according to question ,

after 4 years ,

shyam's age will be 5 / 6 times that of ram ,_______________________________

3 /4 x + 4 + 4 = 5 / 6 ( x + 4 + 4 )

3 x / 4 + 8 = 5 / 6 ( x + 8 )

( 3 x + 32 ) / 4 =( 5x + 40 ) / 6

( 3 x + 32 ) / 2 = ( 5x + 40 ) / 3

3 ( 3 x + 32 ) = 2 ( 5 x + 40 )

9 x + 96 = 10 x + 80

10 x - 9 x = 96 - 80 => x = 16

hence ,

present age of shyam = 3/ 4 x + 4

= 3 / 4 × 16 + 4 = 16 yr

therefore,

present age of shyam = 16 yr

_______________________________Your Answer : 16 yr __________________________

the present ages is 16 year old.

16 yr is the right answer of the following

16 yrs is the correct answer of the given question is