MegB07
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?
A. 4
B. 7
C. 8
D. 12
E. it cannot be determined from the information given.
Hello, i didn't understand the language the '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?'
This means the largest number in the set? Please help.
We are told that two sets of four
consecutive integers have exactly one integer in common. Because the sets are consecutive and share only one integer, it must be that the
largest number of the smaller set equals the smallest number of the larger set.The question then asks: how much greater is the
sum of the set with larger numbers than the
sum of the smaller set.
Example:
- Smaller set: 1, 2, 3, 4
- Larger set: 4, 5, 6, 7
The “set with greater numbers” is 4, 5, 6, 7.
So the problem is simply comparing the sum of the larger set with the sum of the smaller set, not the largest individual element.