# The sum of two numbers is 180 and the larger number exceeds four times the smaller number by ten, what are the 2 numbers?

##### 2 Answers

Oct 2, 2015

The numbers are

#### Explanation:

Be

If we replace

Then we find

Oct 2, 2015

The numbers are:

#### Explanation:

The problem is to find such numbers, that:

- Their sum is 180
- Larger number exceeds 4 times the smaller by 10.

These conditions lead to folowing system of equations:

If we substitute

Now we can substitute

Finally we can write the answer: