Question

If A:B is 5:7 and B:C is 6:11 then A:B:C is

Answer 1

A:B=5:7

B:C=6:11

Now the value of B is 7 with respect to A and 6 with respect to C.

Now here's the trick:

multiply 6 and 7 with such numbers so that they become equal.

Easy find the LCM of 6 and 7.

It is 42.

Now A:B=5:7=5*6:7*6

=30:42

Now B:C=6:11

=6*7/11*7

=42/77

Now the ratio of A:B:C=30:42:77 because B is now the same with respect to A and C.

Glad to help you.

If you need more help, please comment.

Answer 2

Answer:

Given :

A : B = 5 : 7

B : C = 6 : 11

To Find :

A : B : C

Solution :

We can easily find  A : B : C whenever B in both ratios are same

B in 1st ratio = 7

B in 2nd ratio = 6

LCM of 7 , 6 is 42

$\sf \dfrac{A}{B}=\dfrac{5}{7}\\\\\to \sf \dfrac{A}{B}=\dfrac{5}{7}\times \dfrac{6}{6}\\\\\leadsto \sf \dfrac{A}{B}=\dfrac{30}{42}\ \; \bigstar$

$\sf \dfrac{B}{C}=\dfrac{6}{11}\\\\\to \sf \dfrac{B}{C}=\dfrac{6}{11}\times \dfrac{7}{7}\\\\\leadsto \sf \dfrac{B}{C}=\dfrac{42}{77}\ \; \bigstar$

A : B : C = 30 : 42 : 77