Question

17 Two numbers are in the ratio 5:6. If 8 is subtracted
from each of the numbers, the ratio becomes 4:5.
Find the numbers​

Answer 1

Answer:

Numbers are 40 and 48

Step-by-step explanation:

Given that two numbers are in ration 5 : 6

Let the numbers be $5x$ and $6x$

Given that when 8 is subtracted from each of number, ration becomes 4 : 5

Thus, we have

$\frac{5x - 8}{6x - 8} = \frac{4}{5}\\\\ 5(\,5x - 8)\, = 4(\,6x - 8)\,\\\\ 25x - 40 = 24x - 32\\\\ 25x - 24x = -32 + 40\\\\ x = 8$

Numbers are

$5 \times 8 = 40$

$6 \times 8 = 48$

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