Divide 16 into two parts such that twice the square of the larger part exceeds the square of the smaller part by 164.

Answer

10 and 6

Explanation

Let the two parts be x and `(16-x)` such that x is larger. Then,
`2x^(2)-(16-x)^(2)=164impliesx^(2)+32x-420=0impliesx^(2)+42x-10x-420=0.`