Question

If a:b=1:2 , b:c=3:4
Evaluate a:b:c

Answer 1

evaluation of :b:c=1.5:3:4

Answer 2

✍✍HERE IS YOUR ANSWER..⬇⬇
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$\underline{SOLUTION}$ ➡

$Given, \\ \\ a : b \: = 1 : 2\\ \\ b : c \: = 3 : 4 \\ \\ \underline{To \: find} \ \: : - \: \: \: \: \: a: b : c \: =?$

$Now , \\ \\ a : b = 1 : 2 \\ \\ = > \frac{a}{b} = \frac{1}{2} \\ \\ = > \frac{a}{b} = \frac{1 \times 3}{2 \times 3} \\ \\ = > \frac{a}{b} = \frac{3}{6} \\ \\ = > a : b = 3 : 6\: \: - - - - > (1)$

$b : c = 3: 4 \\ \\ = > \frac{b}{c} = \frac{3}{4} \\ \\ = > \frac{b}{c} = \frac{3 \times 2}{4 \times 2} \\ \\ = > \frac{b}{c} = \frac{6}{8} \\ \\ = > b : c \: = 6 : 8\: \: - - - - > (2)$

$So ,\\ \\From \: \: (1) \: \: and \: (2), \: \: we \: get, \: \: \\ \\ a : b : c \: = 3 : 6 : 8$

$\underline{ANSWER}$ ➡ $\boxed{a : b : c = 3 : 6: 8}$

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