Two digit number, when is digits are added together answer is one third of answer when 2 digits are multiplied together?

Question

Find a two digit number, so that when the digits are added together the answer is one third of the answer when the 2 digits are multiplied together.

Answer 1

Let be the number is 10a+b then

a+b = 3(a*b)

Number satisfies the above equation is 66

6+6 = 12 which is 1/3 of 6*6

Comments

correct,sir

Answer 2

The two digit number is 66.

Answer 3

the number should be divisible by 3.such a number would be 27
hence answer is 27