Answer:
The numbers are: 33, 51 and 57
Explanation:
Given
See attachment for complete question
Required
Determine the three lucky numbers
Let the numbers be A, B and C (from smallest to largest).
The third clue implies that:
[tex]30 < A < B < C < 60[/tex]
The first and second imply that they are multiplies of 3 but not multiples of 2 and 9.
Recall that the number are between 30 and 60. So, the numbers are:
[tex]Numbers: 33, 39, 51, 57[/tex]
The fourth clue implies that:
[tex]A + B + C = 141[/tex]
The three numbers (in 33, 39, 51 and 57) when added together that gives 141 are 33, 51 and 57
i.e.
[tex]33 + 51 + 57 =141[/tex]
So, the numbers are: 33, 51 and 57
