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

5849206328x (talk | contribs) (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== | ||

− | + | 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, is a digit. The value of is

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

## 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, ,