Question

Sum of two numbers is $35$ and their difference is $13$. Then the numbers are

• A. $10,25$
• B. $22,13$
• C. $24,11$
• D. $20,15$

Answer 1

Answer: (C)

$24,11$

Let the two numbers be $x$ and $y$.
Then, $x+y=35$ ....(1)
$x-y=13$ ....(2)
Adding equations (1) and (2), we get

$2x=48$

$\Rightarrow x=24$
Subtracting equation (2) from (1), we get

$2y=22$

$\Rightarrow y=11$
Hence, the two numbers are $24$ and $11$.