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.