The sum of two integers is 61. The larger is 5 less than twice the smaller. Find the two integers

Question

I need help finding the two integers

Answer 1

Here's what we know:

a + b = 61 (the two numbers added together equals 61)

a = 2b - 5 (the larger is 5 less than twice the smaller)

 

We have a variable vale, so let's plug it in:

2b - 5 + b = 61

Simplify:

3b - 5 = 61

Add 5:

3b = 66

Divide by 3:

b = 22

 

You can use that to find a, and then check your work.