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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.
