Question

if 5A=6B &7B=9C find A :B:C​

Answer 1

SOLUTION

GIVEN

5A = 6B & 7B = 9C

TO DETERMINE

A : B : C

EVALUATION

Here it is given that 5A = 6B & 7B = 9C

Above gives

$\displaystyle \sf{A = \frac{6B}{5} \: \: \: and \: \: C = \frac{7B}{9} }$

Now A : B : C

$\displaystyle \sf{ = \frac{6B}{5} : B\: : \frac{7B}{9} }$

$\displaystyle \sf{ = \frac{6}{5} : 1\: : \frac{7}{9} }$

$\displaystyle \sf{ =54 : 45\: : 35 }$

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Answer 2

Given : 5A=6B & 7B=9C,

To find :   A:B:C

Solution:

5A=6B  

=> A / B = 6 / 5

=> A  :  B  =  6  : 5

7B=9C

=> B/C  = 9/7

=> B : C = 9 : 7

A  :  B  =  6  : 5

 B : C =   9 : 7

B is  5 and 9

LCM of 5 & 9   is 45

A  :  B  =  6  : 5

multiplying both sides by 9

=> A : B  = 54 : 45

B : C =   9 : 7

multiplying both sides by 5

=>  B : C  = 45 : 35

A : B  = 54 : 45

 B : C  = 45 : 35

=> A : B : C  = 54 : 45 : 35

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