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## Explanation

- If the sum of a number and its square is 182.

The number can be figure out in this way.

Let suppose the number is y.

Square of y

y^{2}

Sum of y^{2} and y equals 182

y^{2} + y = 182 ________ (i)

Through equation (i) we can easily find out the value of y (y = 13).

## To Find

Number = ?

## Solution

Let suppose

Number = y

According to the given condition

y^{2} + y = 182

y^{2} + y â€“ 182 = 0

y^{2} + 14y â€“ 13y â€“ 182 = 0

y(y + 14) â€“ 13(y + 14) = 0

(y + 14)(y â€“ 13) = 0

y + 14 = 0 or y â€“ 13 = 0

y = -14 (not possible) or y = 13 (possible)

**Required Number = 13 answer**

## Conclusion

If the sum of a number and its square is 182, the number is 13.