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## Explanation

- A number is doubled and 9 is added.

- Resultant is trebled, it becomes 75.

The number can be figure out as:

Let suppose the number is y.

Now, number “y” is double and 9 is added

2y + 9

Resultant (2y + 9) is trebled

3(2y + 9) = 75 ________ (i)

Value of y can be find out easily from equation (i) by just simplifying it (y = 8).

## To Find

Number = ?

## Solution

Let suppose

Number = y

According to the given condition

3(2y + 9) = 75

2y + 9 = 25

2y = 25 – 9

2y = 16

y = 8

**Required Number = 8 answer**

## Conclusion

A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. The required number is 8.