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One third of a number increased by 7 is five. What is the number?

1 Answer

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Final answer:

To solve this problem, we can set up an equation and solve it to find the number. The number is -6.

Step-by-step explanation:

To solve this problem, let's set up an equation. Let's assume the number is represented by x. The problem states that one third of the number increased by 7 is five, so we can write the equation as:

(1/3)x + 7 = 5

To solve for x, we can subtract 7 from both sides of the equation:

(1/3)x = 5 - 7

Next, we simplify the right side of the equation:

(1/3)x = -2

Finally, to isolate x, we multiply both sides of the equation by 3:

x = -2 * 3

Therefore, the number is -6.

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