Question

7A=5B=2C than A:B:C=?

Answer 1

7a= 5b=2c
A:b=5:7
B:c=2:5
A:b =5:7
B:c= 2:5
___________
A:b: c=5:7:5(7/2)
=10:14:35

Answer 2

Ratio of A, B, C = 10: 14: 35

Solution:

As the question says 7A=5B=2C, therefore let us equate them with a variable let us take K

Equating the ratio, we get

7A= 5B = 2C= K

Alternatively, this can be written as  

7A = K

5B = K

2C = K

Now let us separate the value of A, B, C we get

$A=\frac{K}{7} ; B=\frac{K}{5} ; C=\frac{K}{2}$

Now let us take the LCM of A, B, C we get $\frac{K}{7}, \frac{K}{5}, \frac{K}{2}$  

$=\frac{K(10:14:35)}{70}$  

Hence we get A, B, C = 10: 14: 35.