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Suppose $A$ and $B$ are digits for which the product of the two-digit numbers $\underline{2A}$ and $\underline{AB}$ is 1971. Find the sum of $A$ and $B$.

 Jul 7, 2015

Best Answer 

 #1
avatar+23245 
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The only two distinct digits that, when multiplied, have a product that ends in 1 is 3 and 7.

So, it will be either 23 x 37 or 27 x 73.

One of these is correct, the other isn't.

 Jul 7, 2015
 #1
avatar+23245 
+5
Best Answer

The only two distinct digits that, when multiplied, have a product that ends in 1 is 3 and 7.

So, it will be either 23 x 37 or 27 x 73.

One of these is correct, the other isn't.

geno3141 Jul 7, 2015

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