Question

If $A:B=3:4$ and $B:C=6:7$, then $A:B:C$ is $9:12:14$

State true or false.

• A. True
• B. False

Answer 1

The correct option is A True

In the given ratios "B" is the
common term, and the values of B in both ratios are not equal. To make them
equal, find the L.C.M. of values corresponding to B i.e., $4$ and $6$.
L.C.M. of $4$ and $6=12$
Therefore, an equivalent ratio of $A:B=3:4=3\times 3:4\times 3=9:12$

Similarly, an equivalent ratio of $B:C=6:7=6\times 2:7\times 2=12:14$
Therefore,$A:B:C=9:12:14$