if A:B=3:4 and B:C=6:7 then A:B:C is 9:12:14 IS tru or false please solve??
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If a:c=3:4 and b:c=6:7 than what is a:C?
7 Answers
Needhipathi D, lives in Chennai, Tamil Nadu, India (2000-present)
Answered October 7, 2017 · Author has 1.4K answers and 241K answer views
a : c = 3 : 4
There fore, 4a = 3c ……………………….. A
b : c = 6 : 7
Therefore, 7b = 6c ………………………..B
By multiplying both sides of A by 2, we get 8a = 6c.
Substituting this in B, we get 7b = 8a.
LCM of 7 & 8 is 56.
Therefore, a=7 & b=8 ( 7 x 8 = 8 x 7)
Substituting the value of a in A, we get the value of c.
4 x 7 = 3c.
therefore, c = 28/3.
Thus, the answer is, a : c = 7 : 28/3
Given :-
A:B=3:4 and B:C=6:7.
To prove :- A:B:C is 9:12:14 is true or false.
Proof :-
First we have to make value of B in both ratio same.
LCM of 6 and 4 is 24.
A : B = 3 x 6 / 4 x 6 = 18 / 24.
B : C = 6 x 4 / 7 x 4 = 24 / 28.
Therefore,
A : B : C = 18 : 24 : 28 ......(Dividing by 2 )
We get
A : B : C = 9 : 12 : 14.
Answer :- Hence the statement is true.
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