Question

What are the lucky numbers in order from least to greatest? * Hint: 3 two-digit numbers with a comma between each number-- no spaces

Answer 1

The numbers are: 33, 51 and 57

Step-by-step 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:

`30 < A < B < C < 60`

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:

`Numbers: 33, 39, 51, 57`

The fourth clue implies that:

`A + B + C = 141`

The three numbers (in 33, 39, 51 and 57) when added together that gives 141 are 33, 51 and 57

i.e.

`33 + 51 + 57 =141`

So, the numbers are: 33, 51 and 57