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:
$x+y=65$
$4y+y=65$
$5y=65$
$\frac{5y}{5}=\frac{65}{5}$
$y=13$

$x=4y$
$x=4(13)=52$

The numbers are 13 and 52.