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

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!

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation:

twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2