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## Explanation

- A number whose fifth part increased by 4.

- Is equal to its fourth part diminished by 10.

The number can be find out in the way.

Let suppose the number is y.

The fifth part of “y” increased by 4

y/5 + 4

Fifth part of y increased by 4 is equal to its fourth part diminished by 10.

y/5 + 4 = y/4 – 10 ________ (i)

Through this equation we can easily figure out the value of y (y = 280).

## To Find

Number = ?

## Solution

Let suppose

Number = y

According to the given condition

y/5 + 4 = y/4 – 10

4(y + 20) = 5(y – 40)

4y + 80 = 5y – 200

80 + 200 = 5y – 4y

y = 280

**Required Number = 280 answer**

## Conclusion

A number whose fifth part increased by 4 is equal to its fourth part diminished by 10, is 280.