Card sum puzzle

On the table lay eight cards with the numbers 2, 3, 5, 7, 11, 13, 17, and 19. Frank chose three cards. He added the numbers 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? List all possibilities.

Final 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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You need to know the following knowledge to solve this word math problem:

algebraarithmeticbasic operations and conceptsnumbersthemes, topicsGrade of the word problem

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