Question

9. Two numbers are in the ratio 5:6. If 8 is subtracted from each, the ratio becomes 4:5, find the numbers.
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Answer 1

Answer:

If 8 is subtracted from each of the numbers , the ratio becomes 4:5 find the numbers. If 8 is subtracted from each of the numbers then the ratio is 4:5. Therefore the numbers are 40 and 48.

Answer 2

Given:-

• Two numbers are in the ratio of 5:6.
• 8 is subtracted from each, the ratio becomes 4:5.

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To find:-

• The numbers.

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Solution:-

Let,

• the two numbers are x and y

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According to the question

→ x/y = 5/6

→ x × 6 = y × 5

→ 6x - 5y = 0

→ x - 8/y - 8 = 4/5

→ 5x - 40 = 4y - 32

→ 5x - 4y = 8

→ x = 5y/6

→ 5(5y/6) - 4y = 8

→ y = 48

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Now,

→ 6x - 5(48) = 0

→ 6x = 240

→ x = 40

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Hence,

• the numbers are 48 and 40.