Question

Sum of two numbers is 35 and their difference is 13. Find the smaller number.

• A. 11

Answer 1

The correct option is A 11
Let the greater number be $x$ and smaller number be $y$.

$x+y=35$ ....(1)

$x-y=13$ .....(2)

On adding equations (1) and (2), we get

$2x=48$

$\Rightarrow x=24$

On substituting the value of $x$ in equation (1), we get

$24+y=35$

$\Rightarrow y=11$

$So,x=24andy=11$

Therefore, the smallest is 11.