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## Explanation

- Thrice the square of a natural number decreased by 4 times the number.

- Is equal to 50 more than the number.

The number can be figure out in this way.

Let suppose the number is y.

Thrice the square of â€śyâ€ť decreased by 4y

3y^{2 }â€“ 4y

3y^{2 }â€“ 4y is equal to 50 more than the number

3y^{2 }â€“ 4y = y + 50 ________ (i)

Through equation (i) we can easily find out the value of y (y = 5).

## To Find

Number = ?

## Solution

Let suppose

Number = y

According to the given condition

3y^{2 }â€“ 4y = y + 50

3y^{2 }â€“ 4y â€“ y â€“ 50 = 0

3y^{2 }â€“ 5y â€“ 50 = 0

3y^{2 }â€“ 15y + 10y â€“ 50 = 0

3y(y â€“ 5) + 10(y â€“ 5) = 0

(3y + 10)(y â€“ 5) = 0

3y + 10 = 0 & y â€“ 5 = 0

y = -10/3 (not possible) & y = 5 (possible)

**Required Number = 5 answer**

## Conclusion

Thrice the square of a natural number decreased by 4 times, the number is equal to 50 more than the number. The number is 5.