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## Explanation

- The difference of two numbers is 20% of the larger number.

- Smaller number is 12.

Larger one can be find out in this way.

Let suppose the larger number is y.

20% of the larger number

y x 20/100

The difference of larger and smaller number

y – 12 = y x 20/100 ________ (i)

Through this equation we can easily figure out the value of y (y = 15).

## To Find

Number = ?

## Solution

Let suppose

Number = y

According to the given condition

y – 12 = y x 20/100

y – 12 = y x 1/5

5y – 60 = y

5y – y = 60

4y = 60

y = 15

**Required Number = 15 answer**

## Conclusion

The difference of two numbers is 20% of the larger number. If the smaller number is 12, the larger one is 15.