If (a + b) : (b + c) : (c + a) = 8 : 7 : 5 and a + b + c = 60, then the ratio of a : b : c is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 3 : 5 : 2.
Given:
(a + b) : (b + c) : (c + a) = 8 : 7 : 5
a + b + c = 60
Calculations:
Let the value of (a + b), (b + c) and (c + a) be 8x, 7x and 5x
⇒ (a + b) + (b + c) + (c + a) = 8x + 7x + 5x
⇒ 2(a + b + c) = 20x
⇒ (a + b + c) = 10x
According to the question,
⇒ 10x = 60
⇒ x = 6
Now we know,
(a + b) = 48, (b + c) = 42 and (c + a) = 30
a = 18, b = 30 and c = 12
Required ratio = a : b : c = 18 : 30 : 12 = 3 : 5 : 2