SOLUTION: I am five digit number greater than 40 000 but less than 70 000.My ones digit is two more than ten thousands digit. All my other digits are the same. The sum of my digit is 19. Wha

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Question 1085200: I am five digit number greater than 40 000 but less than 70 000.My ones digit is two more than ten thousands digit. All my other digits are the same. The sum of my digit is 19. What number am I ?
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

let your number be:
abcde
given:
40+000%3C+abcde%3C70+000
ones digit is two more than ten thousands digit: e=a%2B2
All my other digits are the same:->b=c=d
The sum of my digit is 19:
a%2Bb%2Bc%2Bd%2Be=19.....since e=a%2B2, b=c and d=c, we have
a%2Bc%2Bc%2Bc%2Ba%2B2=19
2a%2B3c=19-2
2a%2B3c=17.........since greater than 40000 but less than 70+000->ten thousands digit could be from 4 to 7 but less than 7; so, could be a=4, a=5 or a=6
since given that ones digit is two more than ten thousands digit: e=a%2B2-> a cannot be 6; so,e must be 6, and a=4
2%2A4%2B3c=17
8%2B3c=17
3c=17-8
3c=9
c=3 ->then b=3 and d=3
and your number is: 43336