SOLUTION: the sum of the digits of a three digit number is six. the ten digit is one less than the units digit and the number is twelve more than one hundred times the hundred digit Find th

Question 505910: the sum of the digits of a three digit number is six. the ten digit is one less than the units digit and the number is twelve more than one hundred times the hundred digit
Find the three digits
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
the sum of the digits of a three digit number is six. the ten digit is one less than the units digit and the number is twelve more than one hundred times the hundred digit
Find the three digits
=================================================
Let h,t,u be the hundreds, tens and units digits
Given: sum of the digits = 6
h+t+u = 6
ten digit is one less than units digit
t = u - 1
number is 12 more than 100 times the hundred digit
The number can be expressed as 100h + 10t + u -> 100h + 10t + u = 100h + 12
The last equation gives 10t + u = 12
Substitute the value for t:
10(u - 1) + u = 12
11u = 22
u = 2
Therefore t = 1 and h = 6 - 2 - 1 = 3
Answer: 312

RELATED QUESTIONS
A two digit number is two less than six timers the sum of its digits. The tens digit is... (answered by Paul)

the sum of the digits of a three digit number is 12. The tens digits is three less than... (answered by josgarithmetic)

one third of a three-digit number whose units digit is x, ten digit is 5 and hundreds... (answered by edjones,ankor@dixie-net.com)

A two-digit number is eighteen more than the sum of its digits. The tens digit is three... (answered by mananth)

The sum of the digits of a three digit number is 11. The tens digit is 3 less than twice... (answered by ewatrrr)

the sum of the digits of a 2-digit number is 7. The tens digit is one less than 3 times... (answered by Mathtut)

The units digit of a two- digit number is one less than 3 times the tens digit. The sum... (answered by mananth)

The sum of the digits of a two-digit number is 11. If the tens digit is one less than... (answered by rfer)

The sum of the digits of a three-digit number is 15. The tens digit is 5 more than the... (answered by ptaylor)