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

Question

3 years ago

9

is the age of the older brother? 16 18 24

2 answers:

Alex73 [517] · Answer 1 · 2022-02-12T02:51:57+03:00

5 0

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

when he is older he is 24,

If incorrect, sorry

cluponka [151] · Answer 2 · 2022-02-12T01:39:51+03:00

3 0

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