The sum of 3 less than 5 times a number and and the number increased by 9 is 24. What is the number?

Jun 16, 2018

The number is 3

Explanation:

Let $x$ be the unknown number

"3 less than 5 times a number" --> $5 x - 3$

"number increased by 9" --> $x + 9$

The sum of 24
$5 x - 3 + x + 9 = 24$
$6 x + 6 = 24$
$6 x = 18$
$x = 3$

Therefore, the number is 3