Math, asked by ajayshu, 6 months ago

A is 1/3 of B and B is 1/4 of C. The value of A:B:C is​

Answers

Answered by pulakmath007
2

SOLUTION

GIVEN

 \displaystyle \sf{A \:  \: is \:  \frac{1}{3}  \: of \:B \:  \: and \:  \:  B \:  \: is \:  \frac{1}{4} \: of \: C }

TO DETERMINE

The value of A : B : C

EVALUATION

Here it is given that

 \displaystyle \sf{A \:  \: is \:  \frac{1}{3}  \: of \:B \:  \: and \:  \:  B \:  \: is \:  \frac{1}{4} \: of \: C }

Thus we get

 \displaystyle \sf{A  = \frac{B}{3}  \:  \:  \: and \:  \:  B  =   \frac{C}{4} }

So we get

 \displaystyle \sf{A  = \frac{1}{3}   \times    \frac{C}{4}  =  \frac{C}{12}}

Hence

A : B : C

 \displaystyle \sf{ = \frac{C}{12}  :  \frac{C}{4}  : C \: }

 \displaystyle \sf{ = \frac{1}{12}  :  \frac{1}{4}  : 1 \: }

 \displaystyle \sf{ = 1  :  3  : 12 \: }

FINAL ANSWER

A : B : C = 1 : 3 : 12

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