Forming Linear Equations - Fraction - Denominator & Numerator

Chapter 2 Class 8 Linear Equations in One Variable
Concept wise

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### Transcript

Question 7 The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2. Find the rational numbers.The number is Number = Let numerator be x Given, Denominator is greater than numerator by 8 Denominator = x + 8 Rough Rational number is of the form / So, our number becomes Number = = /( + 8) Also, given that If numerator is increased by 17 and denominator decreased by 1, number obtained is 3/2 3/2 = ( + 17 )/(( + 8) 1) 3/2=( + 17)/( + 7) 3 (x + 7) = 2 (x + 17) 3x + 21 = 2x + 34 3x = 2x + 34 21 3x = 2x + 13 3x 2x = 13 x = 13 Number = = /( + 8) =13/(13 + 8)=13/21 So, Number = /

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#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.