make a list of such pairs of nouns and verbs class 10 chapter 2
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Question:-
The denominator of a rational number is less than its numerator than 5. If the 5 is added to the numerator, the new number becomes 11 by 6.Find the original number.
To Find:-
Find the number.
Solution:-
Let the numerator be x
Denominator be x - 5
According to the Question:-
\sf\longrightarrow \: \dfrac { x + 5 } { x - 5 } = \dfrac { 11 } { 6 }⟶
x−5
x+5
=
6
11
\sf\longrightarrow \: 6( x + 5 ) = 11( x - 5 )⟶6(x+5)=11(x−5)
\sf\longrightarrow \: 6x + 30 = 11x - 55⟶6x+30=11x−55
\sf\longrightarrow \: 11x - 6x = 55 + 30⟶11x−6x=55+30
\sf\longrightarrow \: 5x = 85⟶5x=85
\sf\longrightarrow \: x = \cancel\dfrac { 85 } { 5 }⟶x=
5
85
\sf\longrightarrow \: x = 17⟶x=17
Hence ,
Numerator is x = 17
Denominator is x - 5 = 12
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