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There are 5 cards. Five positive integers (may be different or equal) are written on these cards, one on each card. Abhiram finds the sum of the numbers on every pair of cards. He obtains only three different totals 57, 70, 83. Find the largest integer written on a card.
There are 5 cards. Five positive integers (may be different or equal) are written on these cards, one on each card. Abhiram finds the sum of the numbers on every pair of cards. He obtains only three different totals 57, 70, 83. Find the largest integer written on a card.
As the three sum are obtained 57,70,83
We have combination of three numbers same and two numbers different
a, a, a, b, c
a + b = 57
b + c = 70
c + a = 83
2a = 70
a = 35
b = 22
c = 48
Largest integer is 48