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Question 6 - Forming Linear Equations - Consecutive Numbers - Chapter 2 Class 8 Linear Equations in One Variable
Last updated at Dec. 16, 2024 by Teachoo
Forming Linear Equations - Consecutive Numbers
Chapter 2 Class 8 Linear Equations in One Variable
Concept wise
- Definitions
- Solving Linear Equations - Variables on 1 side
- Solving Linear Equations - Variables on both sides
- Solving Linear Equations - Making equation simpler and then solving
- Forming Linear Equations - Perimeter and Area
- Forming Linear Equations - Fraction - Denominator & Numerator
- Forming Linear Equations - Cost, Sale, Profit
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Forming Linear Equations - Consecutive Numbers
- Forming Linear Equations - Consecutive Multiples
- Forming Linear Equations - Coins and Currency Notes
- Forming Linear Equations - Adding subtracting numbers
- Forming Linear Equations - Two digit number
- Forming Linear Equations - Age
Transcript
Question 6 Three consecutive integers add up to 51. What are these integers?Let first Integer = x Second Integer = x + 1 Third Integer = (x + 1) + 1 = x + 2 Now, Sum of Integers = 51 x + (x + 1) + (x + 2) = 51 x + x + x + 1 + 2 = 51 3x + 3 = 51 3x = 51 − 3 Rough Integers are −2, −1, 0, 1, 2, … Consecutive integers are 1, 2, 3 Difference between Consecutive Integers = 1 If number starting from 1, then First number = 1 Second number = 1 + 1 = 2 Third number = 2 + 1 = 3 3x = 48 x = 48/3 x = 16 Therefore, First Integer = x = 16 Second Integer = x + 1 = 16 + 1 = 17 Third Integers = x + 2 = 16 + 2 = 18 Thus, consecutive integers are 16, 17, 18
