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
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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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/