Question

The sum of two integers is 61 and their difference is 1. Find the integers.

Answer 1

We can find this integer using a system of equations.  The first thing we look at is the first sentence.

Let's call X The first integer,

Let's call Y the second integer.

So, X+Y=61 and X-Y= 1

Using Substituion on the second equation, we get

X=Y+1

(Now we plug in Y+1 into the second equation for X)

So,

(Y+1)+Y=61

2Y=60

Y=30

So, one of the integers is 30.

Now to find the second, we go back to

X=Y+1

X=30+1

X=31.

So, the integers are 31 and 30.

Hope this helps!