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ella [17]
3 years ago
7

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

Mathematics
1 answer:
vlada-n [284]3 years ago
3 0

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}}

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