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Three consecutive positive odd integers a, b and c satisfy b^2 - a^2 = 72 and c^2 - b^2 > 0. What is the value of c^2 - b^2?

 Nov 15, 2020
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b^2 - a^2  =72

 

(b - a) ( b + a)  = 72

 

(19 -17) (19 + 17)  = 72

   

(2)  ( 36)  = 72

 

a = 17   b =19    c =21

 

c^2 - b^2  =  21^2  - 19^2  =  (21 - 19) (21 + 19)  = (2) (40)  =   80

 

 

cool cool cool

 Nov 16, 2020

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