Final answer:
In order to find the unknown number, we set up an equation based on the given statement, subtracted 63 from both sides to isolate the term with x, then divided by 5/6 (or equivalently multiplied by 6/5) to solve for x. The solution is x = 30.
Step-by-step explanation:
To solve this problem, let's denote the unknown number as x. According to the problem, five-sixths of this number and 63 equal to 88:
5/6*x + 63 = 88.
To find the value of x, we should start by subtracting 63 from both sides of this equation, in order to isolate the term with x on one side:
5/6*x = 88 - 63,
5/6*x = 25.
Next, to get x alone, we'll divide both sides of the equation by 5/6. It's the same as multiplying by the reciprocal (6/5):
x = 25 * (6/5)
So, x = 30.
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