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In Mathematics / High School | 2025-07-03

Idya Mandir School, Madurai, five students have been assigned a unique three-digit student ID code as follows: 624, 315, 928, 736, 459.

If the digits in each of the ID codes are rearranged in descending order within the number, what will be the lowest among the new numbers formed?

For example, if the answer is 100, then please put 100 as the answer and not 100.0 or 0100 or 00100.

Asked by bran7215

Answer (1)

To solve this problem, we need to rearrange the digits of each given student ID in descending order and then find the lowest number among these rearranged numbers.
Let's start with each student ID:

624

Arrange the digits in descending order: 6, 4, 2
New number: 642


315

Arrange the digits in descending order: 5, 3, 1
New number: 531


928

Arrange the digits in descending order: 9, 8, 2
New number: 982


736

Arrange the digits in descending order: 7, 6, 3
New number: 763


459

Arrange the digits in descending order: 9, 5, 4
New number: 954



Now, we have the following new numbers: 642, 531, 982, 763, and 954.
We need to find the lowest number among these:

The numbers in order from lowest to highest are: 531, 642, 763, 954, 982

Thus, the lowest number among these is 531.
Therefore, the answer is 531 .

Answered by EmmaGraceJohnson | 2025-07-06