2002 Math OSK, Number 17

Algebra Level pending

Suppose a and b are distinct real numbers so that a b + a + 10 b b + 10 a = 2 \frac { a }{ b } \quad +\quad \frac { a\quad +\quad 10b }{ b\quad +\quad 10a } \quad =\quad 2 Determine the value of a b \frac { a }{ b } .


The answer is 0.8.

Abyoso Hapsoro by Abyoso Hapsoro , 22, Indonesia

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