Question

If a:b=3:4 and b:c=16:27 Find a:c

Answer 1

A : B = 3 : 4


By Cross Multiplication method , we have


A / B = 3/ 4


4A = 3B

B = 4A/3

Putting the value of B in ,

B : C = 16 : 27

4A / 3 / C / 1 = 16 / 27

4A / 3 × 1/C = 16 / 27

4A / 3C = 16 / 27

A / C = 16 × 3 / 27 × 4

A/ C = 4/9

A : C = 4 : 9

Answer 2

$\boxed{\boxed{\boxed{\bold{\purple{Solution :\longrightarrow}}}}}$

$\bold{A : B = 3 : 4 \: \: and \: \: B : C = 16 : 27} \\ \\ \bold{\frac{A}{B} = \frac{3}{4} \: \: \: \: and \: \: \: \: \frac{B}{C} = \frac{16}{27}}$

$\bold{\underline{To \: \: find \: \: A : C}}$

$\bold{= > (\frac{A}{B} \times \frac{B}{C} ) = ( \frac{3}{4} \times \frac{16}{27} )} \\ \\ \bold{= > \frac{A}{C} = \frac{4}{9}} \\ \\ \bold{= > A : C = 4 : 9} \: \: \: \boxed{\bold{\red{Ans}}}$