11.Form two four-digit numbers using the digits 2975 such that the difference between the two numbers is the greatest. Use each digit

Question

11.Form two four-digit numbers using the digits 2975 such that the
difference between the two numbers is the greatest. Use each digit
once only in each number.
What is the difference between the two numbers you have
formed?

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Samantha 2 weeks 2021-09-10T15:26:04+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-10T15:27:16+00:00

    Answer:

    9752-2975=6777

    This is the difference

    0
    2021-09-10T15:27:45+00:00

    Answer:

    7173

    Step-by-step explanation:

    As the difference is to be the largest, hence we will consider the greatest possible and the least possible numbers formed by 2, 9, 7, 5 using them only once.

    The greatest no. will be formed by arranging the digits in descending order, i.e., the no. is 9752

    In the same way, the least no. will be formed by arranging the digits in ascending order, i.e., the no. is 2579.

    So, difference = 9752 – 2579 = 7173

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