Question

If a:b = 2:3 and b: c = 4:5, find a:b.c.​

Answer 1

Answer:

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Step-by-step explanation:

If A : B = 2 : 3 and B : C = 4 : 5, then A : B : C is :

[A]2 : 3 : 5

[B]5 : 4 : 6

[C]6 : 4 : 5

[D]8 : 12 : 15

8 : 12 : 15

$latex A : B = 2 : 3$

$latex B : C = 4 : 5$

$latex \therefore A : B : C = 2\times 4 : 3\times 4 : 3\times 5&s=1$

$latex = 8 : 12 : 15$

Answer 2

Answer:

$\frac{a}{b} = \frac{2}{3} \: \: \: \: ....(i) \\ \\ \frac{b}{c} = \frac{4}{5} \: \: \: \: \: ....(ii) \\ \\ from \: \: \: \:( i) \\ \\ a = \frac{2}{3} b \\ \\ from \: (ii) \: \: and \: above \: equation \\ \\ a = \frac{2}{3} b = \frac{2}{3} ( \frac{4}{5} c) \\ \\ a = \frac{2}{3} b = ( \frac{8}{15} c) \\ \\ therefore \\ \\ \frac{a}{8} = \frac{b}{12} = \frac{c}{15} .$

Step-by-step explanation:

THEREFORE , a ratio b ratio c = 8 ratio 12 ratio 15.