If a, b, and c are consecutive integers such that a > b > c and the sum of a, b, and c is a multiple...
If a, b, and c are consecutive integers such that a > b > c and the sum of a, b, and c is a multiple of 10, which of the following could be the value of a?
Answer/Solution
1
Steps/Work
We're given a very specific set of restrictions in this prompt:
1) A, B and C are CONSECUTIVE INTEGERS
2) A > B > C
3) A+B+C = a multiple of 10
We're asked which of the 5 answer COULD be the value of A given these restrictions. Rather than staring at the screen or doing layered math, we canbrute forcethe answers until we find one that fits these restrictions..
Answer A: A = 0
In this case, the numbers would be 0, -1, and -2. The sum = -3 which is NOT a multiple of 10. Eliminate A.
Answer B: A = 1
In this case, the numbers would be 1, 0, and -1. The sum = 0 which IS a multiple of 10. B IS the answer.
Final Answer:
B
1) A, B and C are CONSECUTIVE INTEGERS
2) A > B > C
3) A+B+C = a multiple of 10
We're asked which of the 5 answer COULD be the value of A given these restrictions. Rather than staring at the screen or doing layered math, we canbrute forcethe answers until we find one that fits these restrictions..
Answer A: A = 0
In this case, the numbers would be 0, -1, and -2. The sum = -3 which is NOT a multiple of 10. Eliminate A.
Answer B: A = 1
In this case, the numbers would be 1, 0, and -1. The sum = 0 which IS a multiple of 10. B IS the answer.
Final Answer:
B