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Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the twodigit number?

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NCERT Solutions for Class 8 Mathematics Chapter 2
Important NCERT Questions
Linear Equations in one Variable Chapter 2 Exercise 2.4
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 3

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1 Answer

  1. Let the unit place digit of a two-digit number be x.
    Therefore, the tens place digit = 9-x
    2-digit number = 10 x tens place digit + unit place digit
    Original number = 10(9-x)+x
    According to the question, New number = Original number + 27
    ⇒ 10x+(9-x)=10(9-x)+x+27 ⇒ 10+9-x=90-10x+x+27
    ⇒ 9x+9=117-9x ⇒ 9x+9x=117-9
    ⇒ 18x = 108
    ⇒ x=108/18=6
    Hence, the 2-digit number = 10(9-x)+x=10(9-6)+6=10 x 3 + 6 = 30+6 =36

    Class 8 Maths Chapter 2 Exercise 2.4 Solution in Video

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-2/

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