यदि A: B = 2:3 तथा B :C = 4:5 हो, तो A : C का मान ज्ञात करे
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Answers
a:b = 2:3 and b:c = 4:5. The LCM of 3 and 4 is 12; hence we multiply the first ratio by 4 and the second by 3 so that 'b' becomes the same on both. So, a:b = 8:12 and b:c = 12:15. Now that 'b' is common, we can bridge the ratios.
a:c is equal to 8:15.
In the question, it is given that the ratio of a to b is 2:3 and that of b to c is 4:5. With this information we have to calculate a:c.
Let’s see, how can we do it.
\begin{gathered}\begin{array}{l}{\Rightarrow \frac{a}{b}=\frac{2}{3}-(i)} \\ \\ {\Rightarrow \frac{b}{c}=\frac{4}{5}-(i i)}\end{array}\end{gathered}⇒ba=32−(i)⇒cb=54−(ii)
By multiplying the equation (i) and (ii), we get,
\Rightarrow \frac{a}{b} \times \frac{b}{c}=\frac{a}{c}=\frac{2}{3} \times \frac{4}{5}=\frac{8}{15}⇒ba×cb=ca=32×54=158
Therefore, a:c is equal to 8:15.
i have copied from brainly there was the answer