Question

The sum of two numbers is 62, and their difference is 8. What are the numbers?

Answer 1

Answer:  35 and 27

Step-by-step explanation:

We can solve this by using a system of equations

x will be the first number while y will be the second

$x+y=62$

This equation means the two numbers will add to get 62

$x-y=8$

This equation means when subtracted the two numbers will have the difference of 8.

Now I will solve by elimination

$x+y=62\\\\+x-y=8\\2x=70$

When adding the two equations why was eliminated so now we can find the value of x

$2x=70\\\frac{2x}{2} =\frac{70}{2} \\x=35$

Now sub in x into one of the original equations to find the value of y

$35+y=62\\35-35+y=62-35\\y=27$