Question #91a47

1 Answer
minerva
Dec 6, 2017

9 and 7.

Explanation:

Sum of their squares is 130.
Given: x + y = 16 (1)
x^2 + y^2 = 130 (2)

Square both sides of (1)
x^2 + 2xy + y^2 = 256

Substituting values from (2)
130 + 2xy = 256
2xy = 126
xy = 63

Solving for xy, since 9 * 7 is 63, your numbers are 9 and 7.

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