SOLUTION: I am a 5 digit number. my tens digit is the sum of my hundreds digit and thousands digit. my tens digit is twice my ones digit. my hundrends digit is 1 more than zero. my thousands
Algebra ->
Customizable Word Problem Solvers
-> Numbers
-> SOLUTION: I am a 5 digit number. my tens digit is the sum of my hundreds digit and thousands digit. my tens digit is twice my ones digit. my hundrends digit is 1 more than zero. my thousands
Log On
Question 337867: I am a 5 digit number. my tens digit is the sum of my hundreds digit and thousands digit. my tens digit is twice my ones digit. my hundrends digit is 1 more than zero. my thousands digit is seven times my hundreds digit. my ten thousands digit is the same as my ones dgit. what is the mystery number?
You can put this solution on YOUR website! I am a 5 digit number.
let it = 10000v + 1000w + 100x + 10y + z
:
Write an equation for each statement:
;
my tens digit is the sum of my hundreds digit and thousands digit.
y = x + w
:
my tens digit is twice my ones digit.
y = 2z
:
my hundreds digit is 1 more than zero.
x = 1
:
my thousands digit is seven times my hundreds digit.
w = 7x
:
my ten thousands digit is the same as my ones digit.
v = z
:
Replace x with 1 in each equation that has x
y = w + 1
we know w = 7x, therefore:
w = 7
we know y = w+x: therefore
y = 7 + 1
y = 8
y = 2z
2z = 8
z = 4
we know v=z therefore
z = 4
and
v = 4
:
we have:
v = 4
w = 7
x = 1
y = 8
z = 4
:
47184 is the number
