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Rajan@2021
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A two digit number is such that the product of its digits is 18. When 63 is subtracted from the number. the digits interchange their places. Find the number.

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This question is taken from linear equations in two variables in which we have to find the number a two digit number is such that the product of its digits is 18. When 63 is subtracted from the number. the digits interchange their places.

Kindly give me a detailed solution of this question

Book – RS Aggarwal, Class 10, chapter 3E, question no 17

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1 Answer

  1. Let the tenth digit be x. Then, the units digits=18/x
    Number =10x+18/x
    and Number obtained by interchanging the digits=10x×18/x+x

    (10x+18/x)(10×18/x+x)=63

    10x+18/x180​/xx=63
    9x162/x63=0

    963x162=0
    7x18=0

    x=9
    or x=2

    But, a digit can never be negative, So, x=9

    hene, the required number =(10×9)+18/9=92

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