Question

If 2a=3b=4c then a:b:c=?

Answer 1

assume 2a = 3b 
so a/b = 3/2 = 6/4(cross multiply and multiply two.we do this in order to get b=b for the next step)
also 3b = 4c 
so b/c = 4/3 
hence a : b : c = 6 : 4 : 3

Answer 2

Answer:

The value of $a:b:c=6:4:3$

To find:

The value of the ratios $a:b:c$

Solution:

Given, 2a = 3b = 4c

$\begin{array} { c c c } { 2 a = 3 b } & { \& } & { 3 b = 4 c } \\\\ { a : b = 3 : 2 } & { \& } & { b : c = 4 : 3 } \end{array}$

The ratio b is common in both the parts. Hence, we need to make the ratio of b same to combine all the three parts together

So, lets multiply a and b by 2,

$a : b = 6 : 4 \quad \& \quad b : c = 4 : 3$

Now, the value of b is same in both the parts. Hence the value of $a:b:c=6:4:3$

$\therefore a : b : c = 6 : 4 : 3$