a certain sum of two digits is equal to five times the sum of the digits. If 9 is added to the number the digits are interchanged

Question

a certain sum of two digits is equal to five times the sum of the digits. If 9 is added to the number the digits are interchanged find the number by simultaneous linear equation
plz answer..it’s urgent​

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Skylar 11 months 2021-06-30T16:02:11+00:00 1 Answers 0 views 0

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    2021-06-30T16:03:45+00:00

    Step-by-step explanation:

    Let the numbers in 2 digit number be x & y, such that number is 10x+y.

    Given,

    10x+y = 5(x+y), 5x = 4y.

    10x+y+9 = 10y+x, 9(x+1) = 9y, y = x+1.

    From points-1 & 2 , lets

    y = (x+1) = 5x/4.

    4x+4 = 5x

    Therefore x = 4 & y = 5(x+1).

    Hence number is 45 & their sum is 9.

    Hope it helps!!

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