rajlal wrote:
Five consecutive even integers have a sum of −20.
Quantity A |
Quantity B |
The greatest of the five even integers |
0 |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Even integers (...-4, -2, 0, 2, 4, 6, ...) increase by 2
Let x = the smallest even integer
So, x + 2 = the next integer
and x + 4 = the next integer
and x + 6 = the next integer
and x + 8 = the last (GREATEST) integer
We're told that the 5 integers add to -20
So, we can write: x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = -20
Simplify: 5x + 20 = -20
Subtract 20 from both sides to get: 5x = -40
Solve: x = -8
So, the 5 numbers are -8, -6, -4, -2, 0
The greatest is 0.
So, the quantities are EQUAL
Answer: C
Cheers,
Brent