Question

Th

15. There is a two-digit number such that the sum of its digits is 6 while the
of the original number. Find this number.
product of the digits is 1/3 of the original number. Find this number

Answer 1

15

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