Question

The difference of two numbers is 3. Their sum is 13. Find the numbers.

The larger number is type your answer...
and the smaller number is type your answer...

Answer 1

Lrge number is 8, Small number is 5

Explanation:

Lets use two variables, g and t

`G-T=3\\G+T=13\\`

Lets find G and subsitute the equation

`G-T=3\\G=3+T`

SOlve

`(3+T)+T=13\\3+2T=13\\2T=10\\T=5\\G=8`

CHECK:

`8-5=3\\3=3\\8+5=13\\13=13`

Answer 2

1 and 13 is the only 2 numbers that can be used