Question

State TRUE or FALSE

If $A:B=4:9$ and $A:C=2:3$, then $B:C$ is $3:2$

• A. True
• B. False

Answer 1

The correct option is A True

In the given ratios "A" is the common term, and the values of A in
both ratios are not equal.

To make them equal, we need to find equivalent ratios of both the ratios such that the values of A are equal.

Therefore, an equivalent ratio of $A:C=2:3=2\times 2:3\times 2=4:6$

Now the value of A in 4:6 is equal to the value of A in $4:9$
Therefore, $B:C=9:6=3:2$