Question

A:B=3:4 B:C=12:13 FIND A:C​

Answer 1

Given information:

A:B = 3:4

B:C = 12:13

To find:

A:C

Solution:

First of all find out the variable that common in both the given ratios.

In this case, it's 'B'.

Now, take the LCM of the values of 'B' in both the ratios.

Hence,

LCM of 4,12 = 12

Now, convert both the ratios to such fractions that they have their common value of B.

A:B = 3:4

A:B = (3*3):(4*3) = 9:12

B:C = 12:13

Now, we can write, A:C = 9:13

Answer:

9:13

Answer 2

AnswEr :

• A:B = 3:4
• B:C = 12:13

$\implies \large \bold{ \frac{A}{C} = \frac{A}{B} \times \frac{B}{C} }$

$\implies \large \bold{ \frac{A}{C} = \frac{3}{4} \times \frac{12}{13} }$

$\implies \large \bold{ \frac{A}{C} = \frac{3}{1} \times \frac{3}{13} }$

$\implies \large \bold{ \frac{A}{C} = \frac{9}{13} }$

$\implies \large \bold{A : C = 9 : 13}$