Question

If $A:B=5:6$ and $B:C=8:9$ Find $A:B:C$____

• A. $5:6:27$
• B. $5:7:$$\frac{27}{4}$
• C. $5:24:27$
• D. $20:24:27$

Answer 1

Answer: (D)

$20:24:27$

We have $A:B=5:6$
and $B:C=8:9=1:$$\frac{9}{8}$(On dividing each term by $8$)
$=6:$ $(\frac{9}{8}\times 6)=6:\frac{27}{4}$ [On multiplying 6 in each term]
$\therefore$ $A:B=5:6$
and $B:C=$$6:\frac{27}{4}$
$\Rightarrow$ $A:B:C=5:6:$ $\frac{27}{4}$
$\Rightarrow$ $A:B:C=20:24:27$(Multiplying each term by 4)
Hence $A:B:C=20:24:27$