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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.