If A: B=5:6 And B: C=4:7, Find A:B: C.

Sol:

Given:

A:B = 5:6

So,

\(\frac{A}{B} = \frac{5}{6} \) \(A = \frac{5B}{6} —[1] \)

B:C = 4:7

So,

\(\frac{B}{C} = \frac{4}{7} \) \(C = \frac{7B}{4} —[2] \)

From the equation [1] and [2];

\(A:B:C = \frac{5B}{6} : B :\frac{7B}{4} \\\Rightarrow \frac{5}{6} : 1 : \frac{7}{4} \\\Rightarrow 10 : 12 : 21.\)

Therefore, A:B:C = 10 : 12 : 21.

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