The sum of 2 numbers is 120. if the larger number is four times the smaller number, what are the two numbers?

Lets call the two numbers a and b.

We know that a+b=120.

We also know that a=4*b, because the larger number is 4 times the smaller number.

Therefore, if a=4*b, we can change a+b=120 to:

4*b+b=120,

5b=120

b=120/5

b=24

We can than sub b=24 back into a+b=120

a+24=120

a=120-24

a=96

Therefore, the two numbers are 24 and 96.

A + b=120

4a + a=120

5a=120

a=120/5

a=24

24x4=b

b=96

a=24 b=96