Question

If a ratio b=6 ratio5 if b ratio c =10 ratio 9 find a ratio c

Answer 1

Answer:

$\frac{a}{b } = \frac{6}{5} \\ \: b = \frac{5a}{6}.......(1) \\ \frac{b}{c} = \frac{10}{9} \\ \: b = \frac{10c}{9} .........(2) \\ \\ equating \: (1) \: and \: (2) \\ \frac{5a}{6} = \frac{10c}{9} \\ \frac{a}{c} = \frac{60}{45} \\ \\ \frac{a}{c} = \frac{4}{3}$

Therefore a : c = 4 : 3

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