1/5 of a number exceeds 1/7 of the same number by 10. The number is:_________125150175200
Question
1/5 of a number exceeds 1/7 of the same number by 10. The number is:
_________125150175200
Solution
Let's denote the number as x.
According to the problem, 1/5 of the number exceeds 1/7 of the same number by 10. This can be written as:
1/5x - 1/7x = 10
To solve for x, first find a common denominator for the fractions, which is 35. So the equation becomes:
7x/35 - 5x/35 = 10
Simplify the left side of the equation:
(7x - 5x) / 35 = 10
This simplifies to:
2x / 35 = 10
Multiply both sides by 35 to solve for x:
2x = 350
Finally, divide both sides by 2 to find the value of x:
x = 175
So, the number is 175.
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