Question

the ratio of two numbers is 5:8.if 9 be added to each they are ratio of 8:11​

Answer 1

Answer:

15 and 24 are numbers.

Step-by-step explanation:

let the numbers be 5x and 8x .

$\frac{5x + 9}{8x + 9} = \frac{8}{11}$

• cross-multiplication

$11(5x + 9) = 8(8x + 9)$

$55x + 99 = 64x + 72$

$64x - 55x = 99 - 72$

$9x = 27$

• 27 ÷ 9 = 3

$x = 3$

The numbers are :-

• 5 × 3 = 15
• 8 × 3 = 24