# One number is 2 less than another. If 4 times the larger is subtracted from 5 times the smaller, the result is 10. What are the numbers?

Sep 30, 2016

$x = 18$

#### Explanation:

Define the two numbers first.
Let the smaller number be $\textcolor{red}{x}$
The larger number is $\textcolor{b l u e}{x + 2}$

The main operation is subtraction. Look for "FROM"
"5 times the smaller number - 4 times bigger gives the answer 10"

Write the word equation in maths:
$5 \textcolor{red}{x} - 4 \left(\textcolor{b l u e}{x + 2}\right) = 10$

$5 x - 4 x - 8 = 10$

$x = 10 + 8$

$x = 18$