Question

If A:B=3:4 and B:C=6:7.find A:B:C and A:C

Answer 1

Answer:

given that,

A:B=3:4 or A/B=3/4-----------(1)

B:C=6:7 or B/C=6/7--------(2)

for finding,A:B

now multiplying both the equations,

we get;

(A/B)•(B/C)=(3/4)(6/7)

A/C=9/14.

for finding,A:B:C

step 1; Take the lcm of ratio numbers of B in A:B and B:C

here ,lcm(4,6)=12

step 2; try to make equivalent ratios such that the ratio numbers of B in A:B and B:C become same.

here , equivalent ratio of A:B =9:12

{ multiple by 3 to get equivalent ratio}

equivalent ratio of B:C =12:14.

{ multiple by 2 to get equivalent ratio}

now observing.

A:B=9:12

and B:C=12:14

we can clearly say that,

A:B:C=9:12:14. { Take B in common}

I hope it would help you

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