SOLUTION: The units digit of a 3 digit number is one more than twice the tens digit while the tens digit is twice that of the hundreds digit. If the hundreds digit and the unit digit are int
Algebra.Com
Question 825998: The units digit of a 3 digit number is one more than twice the tens digit while the tens digit is twice that of the hundreds digit. If the hundreds digit and the unit digit are interchanged, the number formed is 21 more than 4 times the original number. Find the number.
I asked this last time. But it wasn't answered. Well I guess, I will try it again. Hoping somebody will notice this. I really need the answer. As in A.S.A.P. Can you solve this. Pleassee?? :(
Found 2 solutions by ankor@dixie-net.com, josmiceli:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let the three digits be a,b,c
then
100a + 10b + c = the number
:
Write an equation for each statemen
:
The units digit of a 3 digit number is one more than twice the tens digit
c = 2b+1
:
while the tens digit is twice that of the hundreds digit.
b = 2a
a = .5b
:
If the hundreds digit and the unit digit are interchanged, the number formed is 21 more than 4 times the original number.
100c + 10b + a = 4(100a + 10b + c) + 21
100c + 10b + a = 400a + 40b + 4c + 21
100c - 4c = 400a - a + 40b - 10b +21
96c = 399a + 30b + 21
replace a and c
96(2b+1) = 399(.5b) + 30b + 21
192b + 96 = 199.5b + 30b + 21
96 - 21 = 229.5b - 192b
75 = 37.5b
b = 75/37.5
b = 2
then
a = 1
and
c = 2(2)+1
c = 5
:
125 is the original number, YOu can check this in the last statement
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Call the units digit
Call the tens digit
Call the hundreds digit
--------------------------
(1)
(2)
----------------
The actual value of the number is:
--------------------
The value of the number with the
digits reversed is:
--------------------
(3)
(3)
(3)
(3)
-----------------------------
(2)
Substitute (1) and (2) into (3)
(3)
(3)
(3)
(3)
(3)
---------------
(2)
(2)
--------------
(1)
(1)
(1)
--------------
The number is 125
check:
(3)
(3)
(3)
(3)
OK
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