SOLUTION: i am a 4 digit even number the sum of my digit is 15. the ones digit is 1 more than the tens digit, which is 1 more than the thousands digit. the hundreds digit is the sum of the o

Question 405853: i am a 4 digit even number the sum of my digit is 15. the ones digit is 1 more than the tens digit, which is 1 more than the thousands digit. the hundreds digit is the sum of the ones and the thousands digit. the tens digit is 3 what am i?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let w = the thousands digit
Let x = the 100's
Let y = the 10's
Let z = the units
:
:
Write an equation for each statement:
:
"the tens digit is 3 "
y = 3
:
"a 4 digit even number the sum of my digit is 15."
w + x + 3 + z = 15
:
" the ones digit is 1 more than the tens digit,"
z = 3 + 1
z = 4
:
"which is 1 more than the thousands digit."
3 = w + 1
w = 3 - 1
w = 2
:
That all the information we need;
2 + x + 3 + 4 = 15
x + 9 = 15
x = 15 - 9
x = 6
:
The number: 2634
:
Check this in the statement:
"the hundreds digit is the sum of the ones and the thousands digit."
6 = 2 + 4

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