  # 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.

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Updated on: September 25th, 2023 Two numbers are in the ratio 5: 6. If 8 is subtracted from each of the numbers, the ratio becomes 4: 5 the two numbers are 40 and 48. Comparing two or more quantities having the same units results in a ratio. p and q must be numbers, where q ≠ 0, p/q is the ratio of p to q. We can write it as p: q.

### Figuring out two unknown numbers

The ratio given is 5: 6.

Assume the integers 5 and 6 where x is the multiple of the two numbers that occur frequently. Additionally, subtracting 8 from each of the integers 5x and 6x yields the ratio of two numbers as 4: 5.

(5x – 8)/ (6x – 8) = ⅘

5 (5x – 8) = 4 (6x – 8)

25x – 40 = 24x – 32

25x – 24x = 40 – 32

x = 8

Substitute x value in two numbers

5x = 5 x 8

5x = 40

x = 8

6x = 6 x 8

6x = 48

x = 8

Therefore, the two numbers are 40 and 48

Summary:

## 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.

The ratio of two numbers is 5: 6. The ratio changes to 4: 5 if each number is reduced by 8. The two numbers are 40 and 48. Ratio is comparing two or more values which have the same unit.

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