Question

The sum of two numbers that are at the ratio of 5:7 is 372. Find these numbers.

Answer 1

X/y= 5/7

x+y=372

x=5/7y

5/7y+y=372


12/7y=372

y = 372(7/12)= 217


x= 155

Answer 2

The given numbers are in the ratio $5:7$. Let the numbers be $5x$ and $7x$, where $x$ is a real number.

The sum of the numbers is $5x+7x=372$.

Solve for x,

$12x=372\\ x= \frac{372}{12}\\ x=31$.

Therefore, the numbers are,

$5*31,7*31$ or the numbers are $155,217$.