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Linda, Miah, and Noah are all wearing hats with numbers on them. Each person adds the two numbers on the other two hats, and they come up with the totals 11, 17, and \(19\) What is the largest number that is on a hat?

 Apr 15, 2022
 #1
avatar+122390 
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Let   L , M , N   be in increasing order

 

So....by logic.....

 

L + M =  11

L + N = 17

M + N  = 19

 

Subtract the first equation from the second

N - M = 6

 

Add this to the third equation

 

2N = 25

N = 25/2 = 12.5   = the largest number

 

And

M = 6.5

L =  4.5

 

 

cool cool cool

 Apr 15, 2022

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