ax-by-cz-36-1-x-1-y-1-z-1-9-a-b-c-

Question Number 213726 by hardmath last updated on 14/Nov/24

ax = by = cz = 36

\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = \frac{1}{9}

a + b + c = ?

Answered by Rasheed.Sindhi last updated on 14/Nov/24

a = \frac{36}{x}, b = \frac{36}{y}, c = \frac{36}{z}

a + b + c = \frac{36}{x} + \frac{36}{y} + \frac{36}{z} = 36 (\frac{1}{x} + \frac{1}{y} + \frac{1}{z})

= 36 (\frac{1}{9}) = 4