Question

If 1/a +1/b = 10, what is the value of a+b ?

Answer 1

a + b = 10ab

Answer 2

Start with the original equation and multiply everything by ab

This leaves

\[ab(\frac{1}{a}) + ab(\frac{1}{b}) = ab(10)\]
\[\frac{ab}{a} + \frac{ab}{b} = 10ab\]
\[b + a = 10ab\]

Answer 3

You can test it with various values of a and b to see if it works. I checked a few and it works.

Answer 4

Oh ok thank you