Question

The ages of two brothers are in the ratio two to three, but in eight years, the ratio of their ages will be three to four. What is the age of the older brother? 16 18 24

Answer 1

the age of the brother when he was younger is 16,

when he is older he is 24,

If incorrect, sorry

Answer 2

let age of one brother =2x

let age of second brother=3x

ratio of ages = 2x/3x

in eight years

age of first brother =2x+8

age of second brother= 3x+8

ratio of ages after 8 years =3/4

$ratio = \frac{2x+8}{3x+8} = \frac{3}{4}$

cross multiplying :

4(2x+8) = 3( 3x+8)

8x +32 = 9x+ 24

x=8

age of older brother= 3x =3*8 =24 years