Question

The sum of two numbers is

65
. One number is
4
times as large as the other. What are the numbers?

Answer 1

Call the two numbers 'x' and 'y'. We can then set up two equations (using the given information) to represent the relationships between the numbers:

1. The sum of the two numbers is 65:

`x + y = 65`

2. One number is 4 times and large as the other:

`x=4y`

We can then solve by substitution:

`x+y=65`

`4y+y=65`

`5y=65`

`(5y)/(5)=(65)/(5)`

`y=13`


`x=4y`

`x=4(13)=52`

The numbers are 13 and 52.