If 2a = 3b = 6c, then find the value of (a + b + c)/c.

Given:

2a = 3b = 6c

Calculation:

Let 2a = 3b = 6c be equal to k.

⇒ a : b : c = k/2 : k/3 : k/6

⇒ a : b : c = {(k/2) × 6} : {(k/3) × 6} : {(k/6) × 6}

⇒ a : b : c = 3 : 2 : 1

Let the value of a, b and c be 3x, 2x and 1x respectively.

Now, we have to find the value of (a + b + c)/c,

⇒ (a + b + c)/c

⇒ (3x + 2x + 1x)/1x

⇒ 6