A set of five two-digit integers numbers is given. Average of first and last…
2018
A set of five two-digit integers numbers is given. Average of first and last number is middle number. Second number is half of first number. Sum of first three numbers is 127. Middle number is (A) and average of five numbers is (B). Fourth number is 62. What can be the values of (A) and (B) respectively?
- A.
64, 50
- B.
62, 55
- C.
62, 50
- D.
64, 55
- E.
60, 55
Attempted by 6 students.
Show answer & explanation
Correct answer: D
Let the first number be F. Then the second is F/2 and the middle number A satisfies F + F/2 + A = 127. Testing A = 64 gives F = 42 and the last number = 86. The average of 42, 21, 64, 62, and 86 is 55, so A = 64 and B = 55.