if y have the numbers from 1-9 and made a 4 and a 5 digit number and minused the 4 digit from the 5 and got the answer 33333 what would the numbers be?

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Asked 11/14/2008 1:09:47 PM

Updated 43 days ago|3/4/2024 11:58:17 PM

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Question

Asked 11/14/2008 1:09:47 PM

Updated 43 days ago|3/4/2024 11:58:17 PM

1 Answer/Comment

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Solution:

abcde - abcd = 33333

(a ×10000 + b × 1000 + c × 100 + d × 10 + e) - (a ×1000 + b × 100 + c × 10 + d) = 33333

a 9000 + b × 900 + c × 90 + e - e = 33333

a × 9000 + b ×900 + c × 90 = 33333

Given that 33333 is divisible by 9, the sum of the digits on the left side must also be divisible by 9. The only combinations of (a), (b), and (c) that satisfy this condition are:

a = 3, b = 7, c = 1

3 ×9000 + 7 × 900 + 1 × 90 = 33333

27000 + 6300 + 90 = 33333

33333 = 33333

So, the 4-digit number is 3710 and the 5-digit number is 37109.

abcde - abcd = 33333

(a ×10000 + b × 1000 + c × 100 + d × 10 + e) - (a ×1000 + b × 100 + c × 10 + d) = 33333

a 9000 + b × 900 + c × 90 + e - e = 33333

a × 9000 + b ×900 + c × 90 = 33333

Given that 33333 is divisible by 9, the sum of the digits on the left side must also be divisible by 9. The only combinations of (a), (b), and (c) that satisfy this condition are:

a = 3, b = 7, c = 1

3 ×9000 + 7 × 900 + 1 × 90 = 33333

27000 + 6300 + 90 = 33333

33333 = 33333

So, the 4-digit number is 3710 and the 5-digit number is 37109.

Added 43 days ago|3/4/2024 11:54:00 PM

This answer has been confirmed as correct and helpful.

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