Question

The difference of two numbers is 16 and the sum of their squares is 130. What are the numbers.

Answer 1

x - y = 16
x^2 + x^2 = 130

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x^2 - y^2 = 256
+(x^2 + y^2 = 130)
2x^2 = 386
x^2 = 193
x = 13.892 (3DP)
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x - y = 16
13.892 - y = 16
-y = 2.108
y = -2.108
The numbers are: 13.892 and -2.108