SOLUTION: The sum of the digits of a two-digit number is 12. The product of the digits is three more than twice the sum of the digits. What is the number?

Question 58669: The sum of the digits of a two-digit number is 12. The product of the digits is three more than twice the sum of the digits. What is the number?
Answer by rcmcc(152) (Show Source): You can put this solution on YOUR website!
the product of the number must be 12x2+3 or 27 as it is 2 times the sum adding 3.
because the sum is 12 there are only limited numbers that can add to get 12, they are

6 and 6
5 and 7
4 and 8
3 and 9
the only set of those numbers that multiply to get 27 is 3 and 9
so the number is 39

RELATED QUESTIONS
the tens digit of a two digit number is 2 more than twice the units digits the sum of the (answered by mananth)

The sum of the digits of a three-digit number is 9 and the tens digits of the number is... (answered by Boreal)

In a 3 digit number,the hundreds digits is 4 more than the units digit and the tens digit (answered by ewatrrr)

The sum of the digits of a two-digits number 7. Tve ten's digit is one more than twice... (answered by math_helper,Shin123)

The tens digit of a two-digit number exceeds twice its units digit by 1. If the digits... (answered by josgarithmetic)

The tens digit of a two-digit number exceeds twice its units digit by 1. If the digits... (answered by vleith)

The sum of the digits of a three digit number is 17. The middle digit is two more than... (answered by ankor@dixie-net.com)

The sum of the digits of a three digit number is 17. The middle digit is two more than... (answered by mananth)

the sum of the digits of a two-digit number is 15. The second digit is 12 less than... (answered by mananth)