Average of two numbers is 62 . If 2 is added to smaller number, ratio between numbers becomes 1: 2 .

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The average of two numbers is $62 .$ If $2$ is added to the smaller number, the ratio between the numbers becomes $1: 2 .$ The smaller number is

A

$60$

B

$30$

C

$84$

D

$40$

Solution

Let, the numbers be $x$ and $y, \,x$

Then, $x+y=124 ; \frac{x+2}{y}=\frac{1}{2} \Rightarrow y=2 x+4$

Solving the above equations, we get $y=84, x=40$

Standard 13

Quantitative Aptitude

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