If 2^x + 2^y = 10^0 + 90^0, where x and y are non negative integers, what is the greatest possible value of |x â€“ y|?
Choose one
A) 0  B) 1  C) 2  D) 3  E) 4
|x â€“ y| for x and y 2^x + 2^y = 10^0 + 90^0   A. x= y x=y=0 1 + 1 = 1 + 1 right   B. 1 x=2, y=1 4 + 2 = 1 + 1 wrong   C. 2 x=3, y=1 8 + 2 = 1 + 1 wrong   D. 3 x=4, y =1 16 + 2 = 1 + 1 wrong   E. 4 x=5, y =1 32 + 2 = 1 + 1 wrong   My answer is 0.
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If 2^x + 2^y = 10^0 + 90^0, where x and y are non negative integers, what is the greatest possible value of |x â€“ y|?