Question Number 104452 by Anindita last updated on 21/Jul/20

If A:B = 3:4, B:C = 6:7 then  A:B:C = ? A:C = ?

Answered by bemath last updated on 21/Jul/20

A : B : C = 9 : 12 : 14

Answered by Rasheed.Sindhi last updated on 22/Jul/20

 determinant (((  A),(   :),(         B),:,(  C)),((  3),(   :),(         4),,),(,,(         6),:,(   7)),((−−),−,(−−−−),−,(−−)),((3×3_(−) ),,(   4×3_(−) ),,),(,,(=6×2_(−) ),,(7×2_(−) )),((−−),−,(−−−−),−,(−−)),(9,(  :),(12_(lcm of 4 & 6) ),(  :),(     14)))  A:C=9:14

Commented byharckinwunmy last updated on 21/Jul/20

can u pls explain

Commented byRasheed.Sindhi last updated on 22/Jul/20

Try to understand now please.

Answered by 1549442205PVT last updated on 22/Jul/20

From the hypothesis we get  (A/3)=(B/4),(B/6)=(C/7)⇒B=((6C)/7)=(C/(7/6))⇒(B/4)=(C/((7/6)×4))  ⇒(A/3)=(B/4)=(C/((14)/3))⇒A:B:C=3:4:((14)/3)=9:12:14  A:C=3:((14)/3)=9:14