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Two sets of 4 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?

Two sets of 4 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set? Correct Answer 12

Concept used:

Consecutive positive numbers are the set of positive numbers whose difference is 1.

For example, 1, 2, 3, 4, 5, 6... etc.

Calculation:

According to the question,

Let us consider two set

Set 1 = 1, 2, 3, 4

Set 2 = 4, 5, 6, 7

⇒ Difference in sum of integers = (4 + 5 + 6 + 7) – (1 + 2 + 3 + 4)

⇒ 12

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