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)?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 ie 4 : 3 : 6.
(a + b) : (b + c) : (c + a) = 7 : 6 : 5
2(a + b + c) = 18
a + b + c = 9
a : b : c
3 : 4 : 2
(1/a) : (1/b) : (1/c) = (1/3) : (1/4) : (1/2)
= 4 : 3 : 6