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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

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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.

This problem has been solved

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