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12:8:4 = 39:A:B what is A and B

Guest Jun 9, 2015

Best Answer 

 #2
avatar+20001 
+5

12:8:4 = 39:A:B what is A and B

$$\\\small{\text{$
\begin{array}{rclcrcl}
12\cdot \frac{8}{12} &=& 8
&\rm{~~or~~}&
12\cdot \mathbf{\frac{2}{3}} &=& 8\\\\
&& &\rm{~~so~~}&
39\cdot \mathbf{\frac{2}{3}} &=& A\\\\
&&&&\textcolor[rgb]{1,0,0}{A}&\textcolor[rgb]{1,0,0}{=}& \textcolor[rgb]{1,0,0}{26}\\\\
\hline
&\\
8\cdot \frac{4}{8} &=& 4
&\rm{~~or~~}&
8\cdot \mathbf{\frac{1}{2}} &=& 4\\\\
&& &\rm{~~so~~}&
A\cdot \mathbf{\frac{1}{2}} &=& B\\\\
&&&&
26\cdot \mathbf{\frac{1}{2}} &=& B\\\\
&&&&\textcolor[rgb]{1,0,0}{B}&\textcolor[rgb]{1,0,0}{=}& \textcolor[rgb]{1,0,0}{13}
\end{array}
$}}$$

heureka  Jun 9, 2015
 #1
avatar+88839 
+5

8 is 2/3 of 12.....so A is 2/3 of 39 = 26

 

4 is 1/3 of 12 .......so  B = 1/3 of 39 = 13

 

 

CPhill  Jun 9, 2015
 #2
avatar+20001 
+5
Best Answer

12:8:4 = 39:A:B what is A and B

$$\\\small{\text{$
\begin{array}{rclcrcl}
12\cdot \frac{8}{12} &=& 8
&\rm{~~or~~}&
12\cdot \mathbf{\frac{2}{3}} &=& 8\\\\
&& &\rm{~~so~~}&
39\cdot \mathbf{\frac{2}{3}} &=& A\\\\
&&&&\textcolor[rgb]{1,0,0}{A}&\textcolor[rgb]{1,0,0}{=}& \textcolor[rgb]{1,0,0}{26}\\\\
\hline
&\\
8\cdot \frac{4}{8} &=& 4
&\rm{~~or~~}&
8\cdot \mathbf{\frac{1}{2}} &=& 4\\\\
&& &\rm{~~so~~}&
A\cdot \mathbf{\frac{1}{2}} &=& B\\\\
&&&&
26\cdot \mathbf{\frac{1}{2}} &=& B\\\\
&&&&\textcolor[rgb]{1,0,0}{B}&\textcolor[rgb]{1,0,0}{=}& \textcolor[rgb]{1,0,0}{13}
\end{array}
$}}$$

heureka  Jun 9, 2015

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