If (a + b) : (b + c) : (c + a) = 7 : 6 : 5 and a + b + c = 27, then what will be the value of 1/a : 1/b : 1/c?Options4 : 3 : 63 : 4 : 23 : 2 : 43 : 6 : 4
Question
Solution 1
The given ratios can be written as:
a + b = 7x b + c = 6x c + a = 5x
Adding these, we get 2(a + b + c) = 18x. We know that a + b + c = 27, so substituting this in, we get 2*27 = 18x, which simplifies to x = 3.
Substituting x = 3 in the above equations, we get:
a + b = 21 b + c = 18 c + a = 15
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