Math, asked by pujarasharmishtha20, 6 months ago

if a:b=3:5 , b:c=6:7 . Find a:c​

Answers

Answered by archigaur14
0

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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Answered by emma3006
0

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

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