Twenty times a positive integer is less than its square by 96, what is the integer?

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• Explanation

• Solution

Explanation

• Twenty times a positive integer is less than its square by 96.

The integer can be figure out in this way.

Let suppose the integer is y.

20 times of y and its square

20y             &                y²

20 times of y is less than its square by 96

20y + 96 = y² ________ (i)

Through equation (i) we can easily find out the value of y (y = 24).

To Find

Number = ?

Solution

Let suppose

Number = y

According to the given condition

20y + 96 = y²

y² – 20y – 96 = 0

y² – 24y + 4y – 96 = 0

y(y – 24) + 4(y – 24) = 0

(y – 24)(y + 4) = 0

y – 24 = 0           or                y + 4 = 0

y = 24 (possible)                  or      y = -4 (not possible)

Required Number = 24 answer

Conclusion

Twenty times a positive integer is less than its square by 96. The required integer will be 24.