Question

If 5/12=1/a+1/b and ab=24, what is the value of a+b​

Answer 1

10

Explanation:

`(5)/(12) = (1)/(a) + (1)/(b) \\ \\ (5)/(12) = (b + a)/(ab)..(by \: taking \: lcm) \\ \\ (5)/(12) = (a + b)/(ab) \\ \\ (5)/(12) = (a + b)/(24) ...( \because \: ab = 24) \\ \\ a + b = (5 * 24)/(12) \\ \\ a + b = 5 * 2 \\ \\ \huge \red{ \boxed{ a + b = 10}}`