How would I set this up to work?

When a number is divided by 5 and the quotient is increased by 8, the result is 16. Find the number.

When a number is divided by 5 and the quotient is increased by 8, the result is 16. Find the number.

16-8=8
8*5=40
X=(16-8) 8
X=40
am I correct?

(n / 5) + 8 = 16

n / 5 = 8 ... n = 40

To solve this problem, you need to set up an equation based on the given information and then solve for the unknown number.

Let's represent the unknown number as "x." According to the problem, when x is divided by 5 and the quotient is increased by 8, the result is 16.

Mathematically, we can write this as:

(x ÷ 5) + 8 = 16

To find the value of x, we need to isolate it on one side of the equation.

Subtracting 8 from both sides gives:

(x ÷ 5) = 16 - 8

Simplifying, we have:

(x ÷ 5) = 8

To get rid of the division sign, we can multiply both sides of the equation by 5:

(x ÷ 5) * 5 = 8 * 5

This simplifies to:

x = 40

Therefore, the number you are seeking is 40.