Question

Two number are in the ratio 5:6 if 8 is subtracted from each of the numbers the ratio become 4:5 then find the numbers

Answer 1

Follow the sequence. If you have any doubts at any step, ask me freely.

Answer 2

Let the two numbers be a,b.
a:b = 5:6        or  6a = 5b....(1)
(a-8):(b-8) = 4:5   ....(2)
from 2,
5a - 40 = 4b - 32    or    5a - 4b = 8    ...(3)
from (1) and (3),
 5(5/6)b - 4b = 8
multiply 6 on both sides,
25b - 24b = 48     ,  b = 48
from (1) , a = 40