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If One-Seventh of a Number Exceeds Its Eleventh Part by 100, then the Number is?

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Explanation

  • If one-seventh of a number exceeds its eleventh part by 100.

Then the number can be figure out as:

Let suppose the larger number is y.

1/7 of y

y x 1/7

1/11 of y

y x 1/11

1/7 of y exceeds its eleventh party by 100

y/7 – y/11 = 100 ________ (i)

Through this equation we can easily figure out the value of y (y = 1925).

To Find

Number = ?

Solution

Let suppose

Number = y

According to the given condition

y/7 – y/11 = 100

11y – 7y = 7700

4y = 7700

y = 1925

Required Number = 1925 answer

Conclusion

If one-seventh of a number exceeds its eleventh part by 100, then the number is 1925.

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