If a : b : c = 7 : 3 : 5, then (a + b + c) : (2a + b – c) is equal to :
If a : b : c = 7 : 3 : 5, then (a + b + c) : (2a + b – c) is equal to :
[A]1 : 2
[B]2 : 3
[C]3 : 4
[D]5 : 4
5 : 4
$latex a : b : c = 7 : 3 : 5$
$latex => \frac{a}{7} = \frac{b}{3} = \frac{c}{5} = k (let)$
$latex => a = 7k, b = 3k, c = 5k$
Now $latex (a + b + c) : (2a + b – c)$
$latex = (7k + 3k + 5k) : (2\times 7k + 3k – 5k)$
$latex = 15k : 12k = 5 : 4$
Hence option [D] is correct answer.