Question

যদি a:b=2:3 এবং b:c=2:3 হয় তাহলে a:b:c কত হবে?
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Answer 1

$Given \: a : b = 2 : 3$

/* Multiplying bothsides by 2 , we get */

$\implies a : \blue {b} = 4 : \blue {6 }\: ---(1)$

$and \: b : c = 2 : 3$

/* Multiplying bothsides by 3, we get */

$\implies \blue {b} : c = \blue {6} : 9 \: --(2)$

$Now , from \: (1) \:and \: (2)$

$a :\blue{ b} : c = 4 :\blue { 6 }: 9$

Therefore.,

$\red{ a : b : c } \green {= 4 : 6 : 9 }$

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