Answer:
15
Step-by-step explanation:
"There is a two-digit number such that the sum of its digits is 6"
The digits can be
0, 6 possible numbers: 06, 60
1, 5 possible numbers: 15, 51
2, 3 possible numbers: 23, 32
3, 3 possible numbers: 33
"the product of the digits is 1/3 of the original number"
That means we need a number that is 3 times the product of the digits.
0, 6 product of the digits: 0 3 times product: 0
1, 5 product of the digits: 5 3 times product: 15
2, 3 product of the digits: 6 3 times product: 18
3, 3 product of the digits: 9 3 times product: 27
The only number that appears with both conditions is 15.
Answer: 15
