The sum of the digits of a 2-digit number is 7. The number obtained by interchanging the digits exceeds the original number by 27. Fi

Question

The sum of the digits of a 2-digit number is 7. The number obtained by interchanging
the digits exceeds the original number by 27. Find the number.

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Abigail 1 month 2021-09-17T09:48:51+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-17T09:49:53+00:00

    Answer:

    The no. Is 25

    Step-by-step explanation:

    0
    2021-09-17T09:50:11+00:00

    Let the digit at tens place be x

    and at the unit place by y

    So, number is (10x+y)

    ATQ,

    x + y = 7 ———-(1)

    And

    10y + x = 10x + y +27

    => 9y -9x = 27

    => y – x = 3 ——–(2)

    Solving equation (1) and (2)

    We get

    y = x + 3 ————(3) [from equation 2]

    Putting value of y in equation 1

    x + (x + 3) = 7

    => 2x + 3 = 7

    => 2x = 4

    => x = 2

    and

    y = x + 3 = 2 + 3= 5

    So, the number is 10x + y

    = 10(2) + 5

    = 20 + 5

    = 25

    Number is 25

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