perplexus.info :: Numbers : Tea Team Quickie

Tea Team Quickie (Posted on 2023-03-28)

Solve this alphametic:
√(TEA)+ TO = √(TEAM)
where each of the letters represent a digit from 1 to 9 inclusively.

Extra Challenge: How fast can you solve it using only p&p?

No Solution Yet Submitted by K Sengupta

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re: Almost a solution

Comment 3 of 3 |

(In reply to Almost a solution by Steve Herman)

I think this solution must be right.

Let TEA=x, TO=y, and TEAM=(10x+z)

sqrt(x)+y=sqrt(10x+z)

z=2sqrt(x)y-9x+y^2

rearranging: (y^2-9x-z)^2 = 4xy^2

and x must be a perfect square.

Posted by broll on 2023-03-28 11:28:26

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