Question

Sum of two numbers is 44 and their difference is 4. Find the greater number among the two.

• A. 24
• B. 28
• C. 20
• D. 16

Answer 1

The correct option is A 24

Let the numbers be $x$ and $y$.

$x+y=44---\left(i\right)$

$x-y=4---\left(ii\right)$

Solving $\left(i\right)$ and $\left(ii\right)$ by elimination method.

$\left(i\right)+\left(ii\right)\Rightarrow$ $2x=48\Rightarrow x=24$

Substituting the value of $x$ in $\left(i\right)$ we get,

$24+y=44\Rightarrow y=20$

$\therefore x=24,y=20$
Hence, the greater number is 24.