Question : If a : b : c = 5 : 6 : 4, then what is the value of (a + b + c) : (3a + b – c)?
Option 1: 25 : 23
Option 2: 18 : 23
Option 3: 15 : 17
Option 4: 18 : 19
Answer (1)
25th Jan, 2024
Correct Answer: 15 : 17
Solution :
Given:
$a : b : c = 5 : 6 : 4$
$⇒ a = 5x, b = 6x$, and $c = 4x$
So, $(a+b+c):(3 a+b-c) = \frac{5x+6x+4x}{3(5x)+6x-4x}=\frac{15x}{15x+6x-4x}=\frac{15x}{17x}=15:17$
Hence, the correct answer is 15 : 17.
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