One eighth of a number is ten less than one third of the number. Find the number.
2 answers:
X/8 - 10 = x/3
bring the values with the variable on one side
x/3 - x/8 = 10
find a common denominator and subtract these fractions
8x/24 - 3x/24 = -10
now subtract fractions
8x - 3x = 5x
5x/24 = -10
multiply both sides by 24
5x = -240
divide both sides by 5
x = -48
the number is -48
Answer:

Step-by-step explanation:
Let x be our required number.
One-eighth of the number would be
.
One-third of the number would be
.
10 less than one-third of the number would be
.
We have been given that one eighth of a number is ten less than one third of the number. We can represent our given information in an equation as:










Therefore, our required number is 48.
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