Question

if a:b=3:5 , b:c=6:7 . Find a:c​

Answer 1

Step-by-step explanation:

given. a:b=3:5 , b:c=6:7.

then , a/b=3/5 , b/c =6/7

then a/c = 3/7

and a:c =3:7

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Answer 2

Step-by-step explanation:

$a:b = 3:5$

$\frac{a}{b} = \frac{3}{5}$

$\implies 5a=3b$

$\implies b= \frac{5a}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: --------- (1)$

$b:c = 6:7$

$\frac{b}{c} = \frac{6}{7}$

$\implies 7b=6c$

$\implies b =\frac{6c}{7} \: \: \: \: \: \: \: \: \: \: \: \: \: --------- (2)$

$From \: (1) \: \& \: (2),$

$\frac{5a}{3} = \frac{6c}{7}$

$\frac{5a}{6c} = \frac{3}{7}$

$\frac{a}{c} = \frac{3}{7}× \frac{6}{5}$

$\frac{a}{c} = \frac{18}{35}$

$a:c = 18:35$