Math, asked by mrmohitsharmacr7, 10 months ago

IfA: B=3:4 and B:C=6:5, then what is A:(B+C) = ?​

Answers

Answered by abhi569
4

Answer:

9 : 22

Step-by-step explanation:

Given,

      A : B = 3 : 4

      B : C = 6 : 5    ⇒ C : B = 5 : 6

    Therefore,

⇒ ( A : B ) / ( C : B ) = ( 3 : 4 ) / ( 5 : 6 )

⇒ A : C = 9 : 10

⇒ C : A = 10 : 9

Therefore,

⇒ A : ( B + C )

⇒ [ A / A ] : [ ( B + C ) / A ]         { Dividing and multiplying by A }

⇒ [ 1 ] : { ( B / A ) + ( C / A ) ]

⇒ 1 : [ ( 4 / 3 ) + ( 10 / 9 ) ]

⇒ 1 :  [ ( 12 + 10 ) / 9 ]

⇒ 9 : 22

⇒9 : 22

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