Question

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 c) 55,66 d) 50,60 a) 45, 54 b) 40,48​

Answer 1

Answer:

Here's your answer.

Step-by-step explanation:

Let the numbers be 5x and 6x

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

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

25x - 40 = 24x -32

25x - 24x = -32 + 40

x = 8

5x = 5 x 8 = 40

6x = 6 x 8 = 48

Hence the numbers are 40 and 48

Option D is the correct answer.

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