# Two numbers are in the ratio 3:5 . If 5 is subtracted from each number , they become in the ratio 1:2. Find the numbers.

let the numbers be 3x and 5x
ATQ
\frac{3x-5}{5x-5}= \frac{1}{2}
⇒2(3x-5)=5x-5
⇒6x-10=5x-5
⇒x=5
so the number are 15 and 25.

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