It is given ab/a+b=2,ac/a+c=5,BC/b+c=4,Find the value of a+b+c.
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Answer:
a + b + c = (10ab + 5bc + 4ac)/ 10
Step-by-step explanation:
Hey Mate,
Given Data,
ab/(a + b) = 2 ; ab/2 = a + b
ac/(a + c) = 5 ; ac/5 = a + c
bc/(b + c) = 4 ; bc/4 = b + c
So,
a + b + a + c + b + c = ab/2 + bc/4 + ac/5
2(a + b + c) = ab/2 + bc/4 + ac/5
2(a + b + c) = (10ab + 5bc + 4ac)/ 20
So,
a + b + c = (10ab + 5bc + 4ac)/ 10
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