#### mathdad

##### Full Member

- Joined
- Apr 24, 2015

- Messages
- 716

Set up:

Let x = large number

Let y = small number

x + y = 53...Equation A

3y = x + 19....Equation B

x + y = 53

y = 53 - x...Plug into B.

3(53 - x) = x + 19

159 - 3x = x + 19

-3x - x = 19 - 159

-4x = -140

x = -140/-4

x = 35...Plug into A or B.

I will use A.

35 + y = 53

y = 53 - 35

y = 18.

The numbers are 18 and 35.

Yes?