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Vanishree
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Asked: 2021-03-04T10:06:05+00:00 In:

Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.

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NCERT Solutions for Class 8 Mathematics Chapter 2
Important NCERT Questions
Linear Equations in one Variable Chapter 2 Exercise 2.2
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 8

2020-2021cbsechapter 2class8linear equations in one variablemathematicsncert
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    1. Best Answer

      Let the three consecutive integers be x,x+1 and x+2
      According to the question, 2x+3(x+1)+4(x+2)=74
      ⇒ 2x+3x+3+4x+8=74
      ⇒ 9x+11=74
      ⇒ 9x+11-11=74-11 [Subtracting 11 from both sides]
      ⇒ 9x+63
      ⇒ 9x/9=63/9 [Dividing both sides by 9]
      ⇒ x=7

      Hence first integer = 7, second integer = 7 + 1 = 8 and third integer = 7 + 2 = 9.

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

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