Question

Two numbers are in the ratio 5:6.If 8 is sub from each of the numbers,vthe ratio becomes 4:5.Find the munbers.

Answer 1

The two numbers are "40 and 48".

Step-by-step explanation:

Let 5x and 6x be the two numbers.

According to question,

$\frac{5x-8}{6x - 8}$ = $\frac{4}{5}$

By cross multiplication, we get

5·(5x - 8) = 4·(6x - 8)

⇒  25x - 40 = 24x -32

⇒ 25x - 24x  = -32 + 40

⇒ x = 8

∴ 5x = 5 × 8 = 40 and 6x = 6 × 8 = 48

Hence, the two numbers are 40 and 48.