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Every brick in this pyramid contains a number that is the sum of the two numbers in the two bricks below it. What is the value of B?

 

 Dec 29, 2020
 #1
avatar+536 
+2

(sry if the image is blurry or hard to understand)

(also in the picture I messed up and said the top was 938 and not 978)

225=104+x+y can be simplified to x+y=121. Plugging that into 2x+2y+z=287, we get that z is 45. since we know y+z is 147, y is 102, and solving we get x is 19. 

pls correct me if I'm wrong or if I made some sort of mistake

 Dec 29, 2020
 #2
avatar+112823 
+1

I think you did that brilliantly.   cool

I used your method and got the same answer. 

 Dec 30, 2020
 #3
avatar+117546 
+1

M + N   = 978

 

N  =225 + L

M  =225 + J

 

So

 

M + N    =  450 + (L + J)

978  =  450  + (L + J)

L + J  = 528

 

(F + G)   = J

(G + H)   = 225

(H +  I)   =  L

(H + 147)   = L

 

So

  J       +     225        +      L  =      753  

(F + G)  + (G + H)  + ( H + I)   =   753

(F + G)  +  (H + I)   =   528

(F + G)  + (H + 147)   =528

(F + G)  +  H    =   381

 

F  + (G + H)  =   381

F + 225   = 381

F  =  156

 

A +  B   = F

137 + B   =  156

B  = 19

 

Just as 4M  and Melody found  !!!!

 

P.S.  - I really liked  this problem ......

 

cool cool cool

 Dec 30, 2020
edited by CPhill  Dec 31, 2020

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