SOLUTION: Della wrote a 4 digit number the digit in the ones place is 5 more than the digit in the hundreds place the digit in the tens place is 3 more than the digit in the hundreds place t

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Question 863576: Della wrote a 4 digit number the digit in the ones place is 5 more than the digit in the hundreds place the digit in the tens place is 3 more than the digit in the hundreds place the digit in the hundreds place is 2 less than the digit in the thousands place the sum of all 4 digits is 10 what is the 4 digit number
Answer by lwsshak3(11628) About Me  (Show Source):
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Della wrote a 4 digit number the digit in the ones place is 5 more than the digit in the hundreds place the digit in the tens place is 3 more than the digit in the hundreds place the digit in the hundreds place is 2 less than the digit in the thousands place the sum of all 4 digits is 10 what is the 4 digit number
***
let u=units digit
let t=tens digit
let h=hundreds digit
let k=tousands digit
u+t+h+k=10
...
h=k-2
t=k-2+3
u=k-2+5
..
u+t+h+k=10
k-2+5+k-2+3+k-2+k=10
4k+2=10
4k=8
k=2
k-2=0=h
k-2+3=3=t
k-2+5=5=u
The 4-digit number: 2035