# What are the numbers if the difference of two numbers is 43 and the sum of the numbers is 13

What are the numbers if the difference of two numbers is 43 and the sum of the numbers is 13
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Joel Reese
Let x & y be the numbers then
Condition 1:
difference of numbers x& y =43

Condition 2:
sum of numbers x& y =13

Adding (1) & (2) we get
$x-y+x+y=43+13$
$2x=56$
$x=\frac{56}{2}$
$x=28$
setting the value of x in (1), we get
$28-y=43$
$y=28-43$
$y=-15$
hence the **numbers are 28,−15