If (a + b) : (b + c) : (c + a) = 3 : 4 : 5 and 3a – 4b + 2c = 48, then c is equal to
Answer & explanation
Correct answer: option 4
a + b = 3R, b + c = 4R, c + a = 5R
Adding all of above, we get:
2(a + b + c) = 12R
(a + b + c) = 6R ...............(i)
b + c = 4R ...........(ii)
(i) - (ii)
a = 2R, similarly b = 1R, c = 3R
Now,
⇒ 3a – 4b + 2C = 48
⇒ (3 × 2R) – (4 × 1R) + (2 × 3R) = 48
⇒ 6R - 4R + 6R = 48
⇒ 8R = 48
⇒ 1R = 6
Here,
c = 3R = 3 × 6 = 18