Ex 2.6, 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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.