Question

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

Answer 1

Answer:

10

Step-by-step explanation:

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