Question

the quotient of two less than a number and five is eight

Answer 1

Answer:

The number is 42.

Step-by-step explanation:

Let x be the unknown number.

"two less than a number" is x - 2

Quotient means the result of a division.

(x - 2)/5 = 8

Multiply both sides by 5.

x - 2 = 40

Add 2 to both sides.

x = 42

Answer: The number is 42.

Check.

Start with 42. 2 less than 42 is 40. The quotient of 40 and 5 is 40/5 which is 8. The answer is correct.

Answer 2

The unknown number is 42.

Let the unknown number = n

From the given statement, we will form the following expression to calculate the unknown number.

2 less than the number = n - 2

The finally equation and solution for the unknown number is written as follows;

$\frac{n -2}{5} = 8\\\\cross -multiply\\\\n-2 = 8(5)\\\\n - 2 = 40\\\\add\ 2 \ to \ both \ sides\\\\n = 40 + 2\\\\n = 42$

Thus, the unknown number is 42.

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