Question

If (1/2) of A=(2/5) of B=(1/3)of C, then find A:B:C​

Answer 1

Solution :-

Given that , (1/2) A = (2/5)B = (1/3) C .

So , let us take ,

❒ ½ A = ⅖B = ⅓ C = k .

So ,now we can write them as ;

(i) => ½ A = k

=> A = 2k .

(ii) => ⅖ B = k.

=> B = 5/2k .

(iii) => ⅓ C = k

=> C = 3k .

So , now A:B:C = 2k : 5/2k : 3k .

=> Ratio = 2k : 5/2k : 3k .

=> Ratio = 2 ( 2k : 5/2k : 3k ) .

=> Ratio = 4k : 5k : 6k.

=> A : B : C = 4 : 5 : 6 .

Hence the required ratio is 4:5:6 .