Four-digit number
Find the smallest four-digit number abcd such that the difference (ab)2− (cd)2 is a three-digit number written in three identical digits.
Final Answer:

You need to know the following knowledge to solve this word math problem:
algebraarithmeticbasic operations and conceptsnumbersthemes, topicsGrade of the word problem
Related math problems and questions:
- Four-digit number
For a four-digit number abcd, ab: bc = 1:3 and bc: cd = 2:1 (ab, bc, and cd are two-digit numbers from digits a, b, c, d). Find this number(s). - Four-digit number
Find all four-digit abcd numbers with a digit sum of 12 such that ab-cd = 1 - Four-digit number puzzle
Find all four-digit abcd numbers to which abcd = 20. ab + 16. cd, where ab and cd are double digits numbers from digits a, b, c, and d. - Digit number difference
The digits 1, 2, 4, and 8 form two four-digit numbers so that all 4 digits are used in the notation of each number. Calculate the difference between such largest even number and smallest odd number (in that order). - Nikola number difference
Nikola had one three-digit and one two-digit number written in her notebook. Each of these numbers was made up of different digits. The difference in Nicole's numbers was 976. What was their sum? - Number difference
Calculate the difference between the smallest odd four-digit number and the largest even three-digit number, where we can form each number from only these digits: 0, 1, 3, 5, 7, 8, 9 without repeating digits. - Two-digit number
In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits but in reverse order, we get product 3 478. Find the original number.
