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Four positive integers A, B, C and D have a sum of 36. If A + 2 = B - 2 = C*2 = D*2, what is the value of the product ABCD?

 Feb 21, 2021
 #1
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Do they have to be different integers?  Because I don't see how 2C can equal 2D if C and D aren't the same. 

 Feb 21, 2021
 #2
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Four positive integers A, B, C and D have a sum of 36. If A + 2 = B - 2 = C*2 = D*2, what is the value of the product ABCD?   

 

if  A+2=12  then  A=10  

if  B–2=12  then  B=14  

if  C•2=12  then  C=  6  

if  D•2=12  then  D=  6           therefore A • B • C • D  =  10 • 14 • 6 • 6  =  5040   

.

 Feb 22, 2021

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