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

o - older one
y - younger one


`(y)/(o)=(2)/(3)\\ (y+8)/(o+8)=(3)/(4)\\\\ 2o=3y\\ 3o+24=4y+32\\\\ 2o-3y=0\\ 3o-4y=8\\\\ -8o+12y=0\\ \underline{9o-12y=24}\\ o=24`

It's 24.