Question

The sum of two number is 3 and their difference is 1. Find the numbers.

• A. 2 and -1
• B. 2 and 1
• C. -2 and 1
• D. 1 and -2

Answer 1

The correct option is B 2 and 1

Let the two numbers be x and y.
$x+y=3$ ----- (1)
$x-y=1$ ----- (2)
Adding equation (1) and (2), we get
$x+y=3$
$x-y=1$
_________
$2x=4$
$x=\frac{4}{2}=2$
Substituting the value x in equation (1), we get
$2+y=3$
$y=3-2$
$y=1$
Therefore, $x=2$ and $y=1$
Hence, the two numbers are 2 and 1.