Remaining 5534

On the table lay eight cards with the numbers 2,3,5,7,11,13,17,19. Fero chose three cards. He added the numbers written on them and found that their sum was 1 more than the sum of the numbers on the remaining cards. Which cards could have been left on the table? Specify all options.

Correct answer:

x1 = 2, 3, 5, 11, 17
x2 = 2, 5, 7, 11, 13

Step-by-step explanation:

s=2+3+5+7+11+13+17+19=77 s1=(s1)/2=(771)/2=38 s2=(s+1)/2=(77+1)/2=39 r1=7+13+19=39 r2=2+3+5+11+17=38 r1 = s2 r2 = s1 x1=2,3,5,11,17
r1=3+17+19=39 r2=2+5+7+11+13=38 x2=2,5,7,11,13

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