Question 770324
Hi,

Here is a summary of the solution:

(a+b)(a2+b2)= 5500
(a-b) (a2-b2) = 352   then  (a-b)2(a+b) = 352


Then:

5500/(a2-b2) = 352/(a-b)2

Then  (a-b)2 must be a factor of 352 then (a-b)2 = 4 or (a-b)2 = 16

But it can`t be 4, (a-b)2 = 16

Then:  a2+b2=250  (a-b) = 4

So a solution is a = 13 and b = 9

Answer: a = 13 and b = 9


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Thanks