exam Maths Puzzle Numerical Ability

A car rental company charges $25 a day plus $.10 a mile. If I rented a car for 3 days and was charged $105. For how many miles did I get Charged? If I actually drove the car 250 miles, did I get charged the right amount.

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solve by

completing the square

4x + 2 = x2nd power
y=3
x+y=24