Question

You multiply two integers. You increase one of them by 1 and decrease the other

Answer 1

Integers are numbers without decimals

The integers could you have multiplied are 9 and 2

Let the numbers be x and y

So, we have:

$\mathbf{x \times y}$

Increase x by 1 and reduce y by 1.

So, we have

$\mathbf{(x +1) \times (y -1) = 6 + xy }$

Open brackets

$\mathbf{xy -x + y - 1 = 6 + xy}$

Subtract xy from both sides

$\mathbf{ -x + y - 1 = 6}$

Collect like terms

$\mathbf{ -x + y = 6 + 1}$

$\mathbf{ -x + y = 7}$

Rewrite as:

$\mathbf{ y -x= 7}$

The above means that, the difference between the integers is 7.

There are several integers that fit the above description;

One possibility is: 9 and 2

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