Question

Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than the number of questions Chris got right. Damien correctly answered 2 less than the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true?
A.
Brian and Damien both answered 2 fewer questions correctly than Chris did.
B.
Brian and Damien both answered 4 more questions correctly than Chris did.
C.
Brian and Damien both answered 2 more questions correctly than Chris did.
D.
Brian and Damien both answered 4 fewer questions correctly than Chris did.

Answer 1

Answer:

None of the answers are right

Step-by-step explanation:

Let number of questions be correct answered by Brian be x

Let number of questions be correct answered by Chris be y

Let number of questions be correct answered by Damien be z

0 <= x <= 20, 0 <= y <= 20, 0 <= z <= 20

x - 14 = y then x >= 14

z + 2 = y,  then z <= 18

Now Brian and Damien have got same score.

Problem doesn't tell if all questions have same marks

(x != z)

Put x = 17 u get y = 3 and z = 1

Put x = 18 u get y = 4 and z = 2

Put x = 19 u get y = 5 and z = 3

Put x = 20 u get y = 6 and z = 4