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Rajan@2021
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A number consists of two digits whose sum is 10. If 18 is subtracted from the number, it’s digits get reversed. Find the number.

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This is the basic and exam oriented question from linear equations in two variables in which we have to calculate the number if their sum of their digits is 10 and their digit gets reversed if 18 is subtracted from the number.

Kindly solve the above problem

RS Aggarwal, Class 10, chapter 3F, question no 10

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1 Answer

  1. Let one’s digit of a two number is x and ten’s digits y, then the number is x+10y
    By reversing its digits One’s digit =y and ten’s digit =x
    Then the number is y+10x
    As per statement
    x+y=10...(1)
    And,
    x+10y18=y+10x
    x+10yy10x=18
    9x+9y=18
    xy=2 (Dividing by 9) ….(2)
    Adding (1) and (2), we have
    2x=8 or x=4
    From (1):4+y=10
    y=6
    Answer:
    Number =x+10y=4+10(6)=64

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