SOLUTION: my sum of my digits is 16 the product of my digits is 64 what number am i?

Question 671533: my sum of my digits is 16 the product of my digits is 64 what number am i?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
my sum of my digits is 16 the product of my digits is 64 what number am i?
---
Assuming the number is a 2 digit number, let it be 10t + u
--------
Equations:
t + u = 16
t*u = 64
--------
Substitute for "t" and solve for "u":
t = 16-u
(16-u)u = 64
16u - u^2 = 64
u^2 - 16u + 64 = 0
-------
Factor:
(u-8)^2 = 0
u = 8
----
Solve for "t":
t + 8 = 16
t = 8
-------
The number is 10t+u = 88
=============
Cheers,
Stan H.
RELATED QUESTIONS
i have four digits. my ones digits is 4 more than my thousands digits. my hundreds digits (answered by richard1234)

i am two digits. the product of my digits is 7+2x7 the sum of my digits is an even... (answered by ewatrrr)

The product of my 2 digits is 16. My first digit is 4 times my second digit. What am... (answered by Cromlix)

I am a two digit number. The sum of my digits is 16. My tens digit is greater than my... (answered by josgarithmetic)

I am a 3 digit number. The sum of my digits is 10. The product of my digits is 0. My... (answered by asingleton74)

The sum of my digits is seven. My factors are the same. What number am I? (answered by solver91311)

I AM A TWO-DIGIT NUMBER OF MINUTES. THE SUM OF THE DIGITS IS 8 . MY UNIT DIGITS IS 3... (answered by ewatrrr)

If the sum of my hundreds and ten digits is equal to my ones digits.My tens digits is my... (answered by ankor@dixie-net.com)

I AM AN ODD NUMBER WITH FOUR DIGITS. MY TENS AND HUNDREDS DIGITS ARE EVEN. THE SUM OF MY... (answered by ramkikk66)