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Question:
If two numbers are in the ratio 5:7 If they differ by 8 what are the numbers
Answer:

Let the numbers be x and y such that x > y.

Then, according to the question,

x - y = 8

x = y + 8 . . . (i)

y/x = 5/7

7y = 5(y + 8)

7y = 5y + 40

2y = 40

y = 20

Now substituting y = 20 in (i)

x = 20 + 8

x = 28

 

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