Problem:
Sixteen subtracted from the product of two consecutive numbers is 56?

Explanation:

To solve this problem, we need to understand what is meant by "consecutive numbers" and set up an equation based on the given information.

Consecutive Numbers:
Consecutive numbers are numbers that follow each other in order without any gaps. For example, 1, 2, 3, 4, and so on are consecutive numbers.

Setting up the Equation:
Let's assume that the first consecutive number is 'x'. Since the numbers are consecutive, the second consecutive number would be 'x + 1'.

According to the problem, sixteen subtracted from the product of these two numbers is 56. Mathematically, this can be represented as:

(x)(x + 1) - 16 = 56

Solving the Equation:
To solve this equation, we will follow the steps below:

1. Distribute the 'x' term:
x² + x - 16 = 56

2. Rearrange the equation to bring all terms to one side:
x² + x - 72 = 0

3. Factorize the quadratic equation:
(x + 9)(x - 8) = 0

4. Set each factor equal to zero and solve for 'x':
x + 9 = 0 or x - 8 = 0

x = -9 or x = 8

Conclusion:
The two consecutive numbers that satisfy the given condition are -9 and -8 or 8 and 9.

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