Question

2a = 3b = 4c then find a : b : c

Answer 1

Given 2A = 3B = 4C.

Let 2A = 3B = 4C = K.

2A = K

A = K/2  ---------------- (1)

3B = K

B = K/3  ------------------- (2)

4C = K

C = K/4  --------------------- (3).

Now,

A:B:C = K/2: K/3: K/4

LCM = 12

           = 6K/12: 4K/12: 3K/12

           = 6:4:3.

Answer 2

Let 2a=3b=4c=K

Then,2a=K ; A=k/2….....(1)

3b=K ;. B=k/3........(2)

4c=K ; C=k/4........(3)

L.C.M of 2,3and 4 is 12.

Now, A:B:C= K/2:K/3:K/4

Applying LCM, we get

6K/12:4K/12:3K/12

Ratio is 6:4:3. Hope it helps you.