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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 22. What is the largest number that is on a hat?

 Jun 6, 2021
 #1
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please help me 

 Jun 6, 2021
 #2
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Let's suppose  this  :

L + M  =  11          ⇒   L =  11 - M       (1)

M + N  =  17         ⇒   N =  17 - M      (2)

L +  N    =  22          (3)

 

Sub  (1) and (2)  into (3)

 

11 - M   +  17 - M   =  22

 

-2M  + 28  =   22

-2M  = 22 - 28

-2M = - 6

M =  3

 

L  =   11 - 3   =  8

 

N  =  17 - 3    =  14

 

The largest number is   14

 

cool cool cool

 Jun 6, 2021

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