Question

two numbers are in the ratio ratio 3 ratio 4 if 8 is added to each number they become the ratio 4 ratio 5 find the number

Answer 1

the numbers are 3x & 4x
then (3x+8):(4x+8)=4:5
that is
$\frac{3x + 8}{4x + 8} = \frac{4}{5} \\ 15x + 40 = 16x + 32 \\ x = 8$
therefore the numbers are
24 and 32