Question

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

Answer 1

Let the two no. 5 :6 = 5x/6x

5x-8/6x-8 = 4/5

5(5x-8) = 4(6x-8)

25x - 40 = 24x - 32

25x-24x = -32 +40

x = 8

So the no. are 5 ×8 = 40

6×8 = 48

Answer 2

Given :-

Two numbers are in ratio 5:6 . if 8 is subtract from each number the ratio be 4:5

To Find :-

Numbers

Solution :-

Let the ratio be 5x and 6x

5x - 8/6x - 8 = 4/5

5(5x - 8) = 4(6x - 8)

25x - 40 = 24x - 32

25x - 24x = 40 - 32

x = 8

Number are

5x = 40

6x = 48