Question

Two numbers are in ratio 5:6.If 8 is subtracted from each of the numbers THE RATIO BECOMES 4:5.Then the numbers are​

Answer 1

Step-by-step explanation:

let the X is the common ratio and the ratio is 5X / 6 X

then A.T.Q.

(5X - 8) / (6X - 8) = 4 / 5

BY THE CROSS MULTIPLICATION METHOD

5 * (5X - 8) = 4 * (6X - 8)

25 X - 40 = 24 X - 32

25 X - 24X = 40 - 32

X = 8

then the ratio is

( 5 * 8 ) / ( 6 * 8 ) = 40 / 48 Ans.