Five times the smallest of three consecutive odd integers is eight more than twice the largest. Find the integers.

Answer 1

x -2, x, x +2, ...

are 3 consecutive odd numbers

5(x-2) = 8+2(x+2)

5x -10 = 8 +2x +4 = 2x +12

3x = 22

as x = 22/3 which is not an integer much less an odd integer

there are no such odd consecutive numbers

no solution, although 5,7,9 is very close

5 times 5 =25 and 8+2(9) = 26, 25 is almost 26