# If a:b=2:3, b:c=6:5 and a+b+c=30, then 2a+3b+4c is

Answered

(a) 30

(b) 92

(c) 100

(d) 90

Best answer

**Answer: (b) 92 **

**Solution:-**

a: b = 2: 3, b: c = 6: 5

Then, a: b: c = 2 x 6: 3 x 6: 3 x 5

= 12: 18: 15

a: b: c = 4: 6: 5

Let a, b and c be 4 X, 6 X & 5 X

a + b + c = 30 (Given)

Then, 4 X + 6 X + 5 X = 30

15 X = 30

X = 30/15

X = 2

Then, the value of a = 4 x 2 = 8, b = 6 x 2 = 12 & c = 5 X = 5 x 2 = 10.

So, the value of 2 a + 3 b + 4 c = 8 x 2 + 12 x 3 + 4 x 10

= 16 + 36 + 40

= 92.

Hence, the correct answer is option (b) 92.