Question

if 1/a +1/b=10, what is the value of a+b?
a. 1/10
b. 2/5
c. 1
d. 10
e. cannot be determined

Answer 1

1/a +1/b=10
1/a = 10 - 1/b
1/a = (10b - 1)/b
a = b/(10b -1)

if b = 1 get a = 1/9, then a+b = 1/9 + 1 = 10/9
if b = 2 get a = 2/19, then a+b = 2/19 + 2 = 40/19
........
........

i think it would has finitely solution here

Answer 2

i means infinitely solutions, in other words cannot be determined

Answer 3

Yeah, if you substitute that value of \(a\) into \(a+b\) you get \[\frac{b^2}{b-10}\]which has as many values as you want...