Answer:
As written, the question has 2 answers:
B A
45 15
90 30
As noted below, perhaps the one correct answer is 45 and 15, assuming the question is missing "the sum of two numbers is less than 100."
Explanation:
Let the two numbers be A and B, with B the larger number.
The problem tells us that:
1) Both A and B < 100
2) The GCF is 15, so both are divisible by 15 (with a whole number result), and
3) A = (1/3)B
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Since A=(1/3)B, we can consider possible values of B that would produce an A with a value divisible by 15. B would require multiples of 15:
B A GCF 15? Both<100? Possibility?
15 1 N Y N
30 2 N Y N
45 15 Y Y Y
60 20 N Y N
75 25 N Y N
90 30 Y Y Y
105 35 N N N
There are two possibilities:
B A
45 15
90 30
It may be possible that the question was cut off. Instead of "tow numbers are less then 100," perhaps it originally said "the sum of two numbers are less then 100." If so, then the answer is 45 and 15.