Question

If $A:B=6:7,B:C=8:9$ then $A:C$_____

• A. $21:16$
• B. $6:8$
• C. $16:21$
• D. $48:63$

Answer 1

The correct option is D $48:63$

We have,

$A:B=6:7$

$B:C=8:9$

Then,

$A:C=?$

So,

$\frac{A}{B}=\frac{6}{7}......\left(1\right)$

$\frac{B}{C}=\frac{8}{9}......\left(2\right)$

On divide (1) and (2) to,

Now,

$\frac{A}{C}=\frac{48}{63}$

So,

$A:C=48:63$

Hence, this is the answer.