Difference between revisions of "1986 AJHSME Problems/Problem 8"

(New page: ==Problem== In the product shown, <math>\text{B}</math> is a digit. The value of <math>\text{B}</math> is <cmath>\begin{tabular}[t]{r} \text{B}2 \\ \times 7\text{B} \\ \hline 6396 \\ \e...)
 
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==Solution==
 
==Solution==
  
{{Solution}}
+
Note that in any multiplication problem, the only 2 digits that will influence the last digit of the number will be the last digits of each number being multiplied.
 +
 
 +
So, <math>2 \times B = 6</math>, <math>B = 3</math>
  
 
==See Also==
 
==See Also==
  
 
[[1986 AJHSME Problems]]
 
[[1986 AJHSME Problems]]

Revision as of 10:50, 24 January 2009

Problem

In the product shown, $\text{B}$ is a digit. The value of $\text{B}$ is

\[\begin{tabular}[t]{r}
\text{B}2 \\
\times 7\text{B} \\ \hline
6396 \\
\end{tabular}\] (Error compiling LaTeX. ! Missing $ inserted.)

$\text{(A)}\ 3 \qquad \text{(B)}\ 5 \qquad \text{(C)}\ 6 \qquad \text{(D)}\ 7 \qquad \text{(E)}\ 8$

Solution

Note that in any multiplication problem, the only 2 digits that will influence the last digit of the number will be the last digits of each number being multiplied.

So, $2 \times B = 6$, $B = 3$

See Also

1986 AJHSME Problems

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