Question

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

Answer 1

Given,
A:B =2:3
it can be written as,
A/B = 2/3,...............(i)


Similarly ,

B/Ç = 5/4.............(ii)
Multiply both equations we get,

A/B * B/Ç = 2/3 × 5/4
A/Ç = 10/12
A/Ç = 5/6
Hence,
A:Ç = 5:6

Answer 2

=> A:B = 2:3 ____[GIVEN]

$= > \frac{A}{B} = \frac{2}{3} ....[Eq _{1}]$

AND

=> B:C = 5:4 ____[GIVEN]

$= > \frac{B}{C} = \frac{5}{4} \: \: \: \: ....[Eq _{2}]$
________________________________

●BY [Eq(1)×Eq(2)] We get :-

$= > \frac{A}{B} \times \frac{B}{C} = \frac{2}{3} \times \frac{5}{4} \\ \\ = > \frac{A}{C} = \frac{5}{6}$

HENCE,


=> A:C = 5:6
_____________[ANSWER]

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