Question and Answers Forum

All Questions      Topic List

None Questions

Previous in All Question      Next in All Question      

Previous in None      Next in None      

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

$$\mathrm{If}\mathrm{A}:\mathrm{B}=3:4,\mathrm{B}:\mathrm{C}=6:7\mathrm{then}$$$$\mathrm{A}:\mathrm{B}:\mathrm{C}=?\mathrm{A}:\mathrm{C}=?$$

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

$$\left|\begin{array}{ccccc}\mathrm{A}& :& \mathrm{B}& :& \mathrm{C}\\ 3& :& 4& & \\ & & 6& :& 7\\ --& -& ----& -& --\\ 3\times \underset{-}{3}& & 4\times \underset{-}{3}& & \\ & & =6\times \underset{-}{2}& & 7\times \underset{-}{2}\\ --& -& ----& -& --\\ 9& :& \underset{lcmof4\mathrm{\&}6}{12}& :& 14\end{array}\right|$$$$\mathrm{A}:\mathrm{C}=9:14$$

Commented by harckinwunmy last updated on 21/Jul/20

$$\mathrm{can}\mathrm{u}\mathrm{pls}\mathrm{explain}$$

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

$$\mathcal{T}rytounderstandnowplease.$$

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

$$\mathrm{From}\mathrm{the}\mathrm{hypothesis}\mathrm{we}\mathrm{get}$$$$\frac{\mathrm{A}}{3}=\frac{\mathrm{B}}{4},\frac{\mathrm{B}}{6}=\frac{\mathrm{C}}{7}\Rightarrow \mathrm{B}=\frac{6\mathrm{C}}{7}=\frac{\mathrm{C}}{\frac{7}{6}}\Rightarrow \frac{\mathrm{B}}{4}=\frac{\mathrm{C}}{\frac{7}{6}\times 4}$$$$\Rightarrow \frac{\mathbf{A}}{3}=\frac{\mathbf{B}}{4}=\frac{\mathbf{C}}{\frac{14}{3}}\Rightarrow \mathbf{A}:\mathbf{B}:\mathbf{C}=3:4:\frac{14}{3}=9:12:14$$$$\mathbf{A}:\mathbf{C}=3:\frac{14}{3}=9:14$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com