If-A-B-3-4-B-C-6-7-then-A-B-C-A-C-

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

| \begin{matrix} A & : & B & : & C \\ 3 & : & 4 \\ 6 & : & 7 \\ - - & - & - - - - & - & - - \\ 3 \times \underline{3} & 4 \times \underline{3} \\ = 6 \times \underline{2} & 7 \times \underline{2} \\ - - & - & - - - - & - & - - \\ 9 & : & \underset{l c m o f 4 & 6}{12} & : & 14 \end{matrix} |

A : C = 9 : 14

Commented by harckinwunmy last updated on 21/Jul/20

can u pls explain

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

T r y t o u n d e r s t a n d n o w p l e a s e .

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

From the hypothesis we get

\frac{A}{3} = \frac{B}{4}, \frac{B}{6} = \frac{C}{7} \Rightarrow B = \frac{6 C}{7} = \frac{C}{\frac{7}{6}} \Rightarrow \frac{B}{4} = \frac{C}{\frac{7}{6} \times 4}

\Rightarrow \frac{A}{3} = \frac{B}{4} = \frac{C}{\frac{14}{3}} \Rightarrow A : B : C = 3 : 4 : \frac{14}{3} = 9 : 12 : 14

A : C = 3 : \frac{14}{3} = 9 : 14