One number is 22 more than another. Their product is – 121.Step 1 of 2: Set up an equation to solve the given word problem. Let x be the smaller number. Answer# KeypadKeyboard ShortcutsO x + x + 22 = - 121O x(22x) = - 121O x(x + 22)- 121O x(x – 22)- 121

Let it be:

• x: The smaller number.

• x + 22: The larger number.

The product of both numbers is:

Since the product of both numbers is -121, we can write:

The word 'is' is represented by the symbol =.

Therefore, the equation to solve the given word problem is:

To find the numbers, we solve the previous equation.

Now, we can factor the expression on the left side using the perfect square trinomial rule.

Then, we have:

Finally, we find the another number.

Therefore, the numbers are -11 and 11.