SOLUTION: the sum of the digits of a two-digit counting number is 12 and the ratio of the units' to the tens' digitis 1 to 2. what is the number?

Question 527074: the sum of the digits of a two-digit counting number is 12 and the ratio of the units' to the tens' digitis 1 to 2. what is the number?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the sum of the digits of a two-digit counting number is 12 and the ratio of the units' to the tens' digitis 1 to 2. what is the number?
----
Let the number be 10t+u.
----
Equations:
t + u = 12
u/t = 1/2
------
Rearrange:
t + u = 12
t - 2u = 0
---
Subtract and solve for "u":
3u = 12
u = 4
----
Solve for "t":
t + u = 12
t + 4 = 12
t = 8
---------
Number = 10t+u = 84
=================================
Cheers,
Stan H.
RELATED QUESTIONS
The sum of the digits of a two digit counting number is 12 and the ratio of the units'... (answered by ankor@dixie-net.com)

the sum of the digits of a two-digit counting number is 12 and the ratio of the units'... (answered by stanbon)

The ratio of the tens digit to the units digit of a two-digit number is 1:4. If the... (answered by josmiceli)

The units digit of a two-digit number is twice the tens digit. 1/2 the sum of the digits... (answered by ReadingBoosters)

A two-digit counting number has a value that is 1 greater than 8 times the sum of its... (answered by lwsshak3)

The sum of the digits of a two digit number is 14. The difference between the tens digit... (answered by opeodu)

The sum of the digits in a three-digit counting number is 17. The tens digit is 1 more... (answered by addingup)

The sum of the digits of a three-digit number is 12. The tens digit is two times the... (answered by mananth)

The ratio of a two-digit number and the sum of its digits is 4:1. If the units digit is... (answered by TimothyLamb)