Two numbers are in the ratio 7:5 and their difference is 22.Find the numbers

Let x and y be the two numbers. Then

yx=57  and x−y=20

Cross multiplying the proportion

5x=7y  or y=75x

So, x−y=20

x−75x=20⇒77x−5x=72x=20

⇒x=2140=70

y=75x=75×70=50

So smaller number is 50.

Check :yx=5070=57 and 70−50=20

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step-by-step explanation: