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Each distinct letter in a problem stands for a particular but different digit. Reconstruct the problem.

 

 

 1)  AYE+AYE+AYE=EASY

 2)  SON+ON+MOON=SOON

 3)  EAT+MA+EAT=MEAT

 4)  NO+GUN+NO=HUNT

 

Thanks so much for the help! I'm new to the program and have these questions due. All the help I can get is greatly appreciated. My first question!! :)

 

The teacher of the class said there is no method but all that works is trial and error.

 

Thanks Again

Musiclover_333 ðŸŽµ

 Sep 7, 2016
 #1
avatar+51 
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This might help.  http://mathforum.org/library/drmath/view/56789.html

 Sep 7, 2016
 #2
avatar+118654 
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 Hi music lover,

I am a little confused as to whether this is 1 problem or 4 different problems but I will take a look.

1)  AYE+AYE+AYE=EASY

 2)  SON+ON+MOON=SOON

 3)  EAT+MA+EAT=MEAT

 4)  NO+GUN+NO=HUNT

 

I will look at the first one

Line them up under each other - that will help you thinkg better.

 

1)   3* AYE=easy  

If a number is divisable by 3 then the sum of the digits must be digits must be divisable by three - that might help later.

 

2)   3E = 0,3,6,9,12,15,18,21,24 or 27     that doesn't help a whole lot yet..... except that only 0,1 or 2 can be carried to the tens column.

3)  A must be 3 or bigger than 3 or else there will not be any cary for the the first e in easy.      A>2

4)  If you add any 3 single digit numbers plus a carry the biggest number you can get is 4*9=36 so there can never be more than 3 carried to the next column.

This means that  E must be 1,2 or 3   (this is the most helpful clue that I stubled upon)

 

If E=1 then

   531

   531

   531

-------

1593

-------

That works !!!    laugh    I don't think any other combinations work ://  But you should check E=2 and E=3 combinations.

 

All I have done here is given you an idea of the thought processes needed.

If you are a good maths student exercises like this are fun but they also really help you get a fuller understanding of how numbers work together,

 

You should try the others yourself :)

 Sep 7, 2016

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