The larger of two numbers is two more than five times the smaller number. If the sum of the two is 80, find both numbers. I don’t understand this math question at all!

So let’s start by turning this into an equation

We know that the sum of the two numbers equals 80, so we’ll put it as s (smaller) + l (larger) = 80

We know that l is 2 more than 5 times s

s x 5 + 2 = l

Now if we go through some numbers to replace s with, we can make an equation by finding a number that fits the equation, in this case s would equal 13

s + ((s x 5) + 2) = 80
13 + ((13 x 5) + 2) = 80
13 + (65 + 2) = 80
13 + 67 = 80

So our smaller number would equal 13
And our larger number would equal 67

Hope this helped! I find that it’s a lot of trial and error with this method but it’s very simple :)

The first digit is in the middle school 100s place