Question

2, 4 and 6 are consecutive even numbers.

Alice wrote down three consecutive even numbers with a sum of 252.
Pat wrote down three consecutive odd numbers. Pat's numbers were larger than Alice's numbers.
The difference between the largest odd number and the largest even number was 25.

Answer 1

Alice: 82, 84, 86

Pat: 103, 105, 107

Explanation:

Alice:

x + (x+2) + (x+4) = 252

3x + 6 = 252

3x = 246

x = 82 so Alice's last term is 82+4 = 86

Pat:

y + (y+2) + (y+4) = Pat's Total

Pat's last term is (y+4) so

Alice's last term + 25 = Pat's last trem

86 + 25 = 111 = y+4

y = 107