SOLUTION: The sum of the digits of a three-digit number is 15. The ones digit is one less than the tens digit. The hundreds digit is two less than the tens digit. What is the number.

Algebra.Com
Question 730791: The sum of the digits of a three-digit number is 15. The ones digit is one less than the tens digit. The hundreds digit is two less than the tens digit. What is the number.
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
The sum of the digits of a three-digit number is 15. The ones digit is one less than the tens digit. The hundreds digit is two less than the tens digit. What is the number.
***
let u=units digit
let t=tens digit
let h=hundreds digit
..
u=t-1
h=t-2
u+t+h=15
t-1+t+t-2=15
3t=18
t=6
h=t-2=4
u=t-1=5
number:100h++10t+u=400+60+5=465

RELATED QUESTIONS

The sum of the digits of a certain three digit number is 12. If the hundreds digit is... (answered by stanbon)
The sum of the digits of a three -digit number is 17. The ones degit is two more than the (answered by Edwin McCravy,ptaylor)
For a certain three digit positive number the ones digit is 3 times the hundreds digit.... (answered by solver91311)
For a certain three digit positive number the ones digit is 3 times the hundreds digit.... (answered by JBarnum)
in a 3-digit number, the hundreds digit is one half of the tens digit. The ones digit is... (answered by MathLover1,Edwin McCravy)
In a 3-digit number, the hundreds digit is one half of the tens digit. The ones digit is... (answered by josgarithmetic)
In a 4-digit number the tens and hundreds digits are 3. The ones digit is twice the tens... (answered by Edwin McCravy)
In a three digit number, the sum of its ones digit and tens digit is ten. Its tens digit... (answered by Edwin McCravy)
what number am i? my ones digit is twice hundreds digit. My thousands digit is one less... (answered by josmiceli)