SOLUTION: the number has 4 digits the number is less than 100 one of the digits is an odd number the hundredths digit is the sum of the tens and the ones digit the tens digit is three times

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: the number has 4 digits the number is less than 100 one of the digits is an odd number the hundredths digit is the sum of the tens and the ones digit the tens digit is three times       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1124877: the number has 4 digits the number is less than 100 one of the digits is an odd number the hundredths digit is the sum of the tens and the ones digit the tens digit is three times the ones digit the tenths digit is two times the ones digit
Found 2 solutions by ikleyn, ankor@dixie-net.com:
Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
.
This part of the condition

    "the number has 4 digits the number is less than 100 . . . "

makes the entire post nonsensical.


Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Punctuation is a wonderful thing, you should try it.
:
The number has 4 digits.
10a + 1b + .1c + .01d is the number
:
The number is less than 100.
One of the digits is an odd number.
:
The hundredths digit is the sum of the tens and the ones digit.
d = a + b
The tens digit is three times the ones digit.
a = 3b
The tenths digit is two times the ones digit.
c = 2b
:
Replace a with 3b in the 1st equation
d = 3b + b
d = 4b
Therefore, b can = only 1 or 2,
If b = 1, then
a=3, c=2, d=4,: the number: 31.24
If b = 2, then
a=6, c=4, d=8: the number 62.48, all even numbers therefore
31.24 is the number