Question

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!

Answer 1

Answer:

Smaller number = 13

Larger = 67

Step-by-step explanation:

(13 x 5) + 2 = 67 + 13  = 80

Answer 2

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 :)