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## Explanation

- In an examination, a student was asked to find 3/14 of a certain number.

- By mistake, he found 3/4 of that number.

- His answer was 150 more than the correct answer. The number can be find out as:

Let suppose the number was “y”. So 3/4 of y means “3y/4” and 150 would be subtracted from “3y/4” to get it equal to “3y/14”.

3y/4 – 150 = 3y/14

Through this equation, we can easily figure out the number.

## To Find

Number = ?

## Solution

Let suppose

Number = y

Now according to the given condition

3y/4 – 150 = 3y/14

3y/4 – 3y/14 = 150

21y – 6y = 4200

15y = 4200

y = **280 answer**

## Conclusion

In an examination, a student was asked to find 3/14 of a certain number. By mistake, he found 3/4 of that number. His answer was 150 more than the correct answer. The number was 280.