MathDB

Ratio - AHSME 1982

Source:

December 25, 2005

ratio

Problem Statement

Two positive numbers

x

and

y

are in the ratio

a: b

where

0 < a < b

. If

x+y = c

, then the smaller of

x

and

y

is

<span class='latex-bold'>(A)</span> \ \frac{ac}{b} \qquad <span class='latex-bold'>(B)</span> \ \frac{bc-ac}{b} \qquad <span class='latex-bold'>(C)</span> \ \frac{ac}{a+b} \qquad <span class='latex-bold'>(D)</span> \ \frac{bc}{a+b} \qquad <span class='latex-bold'>(E)</span> \ \frac{ac}{b-a}

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