Question

If a : b : c = 2 : 3 : 4 and 2a − 3b + 4c = 33, then the value of c is ______.

पर्याय

• 6

• 9

• 12

• `66/7`

Answer 1

If a : b : c = 2 : 3 : 4 and 2a − 3b + 4c = 33, then the value of c is 12.

Explanation:

a : b : c = 2 : 3 : 4

Let 2x : 3x : 4x

2x − 3b + 4c = 33

2 × 2x − 3 × 3x + 4 × 4x = 33

2 × 2x − 3 × 3x + 4 × 4x = 33

4x − 9x + 16x = 33

11x = 33

x = 3

∴ c ⇒ 4 × 3 = 12