## If we add 1 to the numerator of a fraction becomes 1/2 and if 5 is subtracted from the denominator, it becomes 1. Find the fraction

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## Answers ( )

SolutionGiven:–Find:–ExplanationLet,A/Ctoquestion,(If we add 1 to the numerator of a fraction becomes 1/2)

==> (x+1)/y = 1/2

==> 2x – y = -2

––––––––(1)Again,(if 5 is subtracted from the denominator, it becomes 1.)

==> x/(y-5) = 1

==> x – y = -5

––––––––––(2)Subtractequ(1)&equ(2)==> 2x – x = -2 + 5

==> x = 3KeepValueofxinequ(1)==> 2 × 3 – y = -2

==> y = 6 + 2

==> y = 8Hence_________________AnswerVerificationCase(1).(If we add 1 to the numerator of a fraction becomes 1/2)

==> (3+1)/8 = 1/2

==> 4/8 = 1/2

==> 1/2 = 1/2

L.H.S.=R.H.S.Case(2).(if 5 is subtracted from the denominator, it becomes 1.)

==> 3/(8-5) = 1

==> 3/3 = 1

==> 1 = 1

L.H.S.=R.H.S.That‘sproved._______________Given :-If we add 1 to the numerator of a fraction becomes 1/2if 5 is subtracted from the denominator, it becomes 1.TO Find :-These fractionExplanationLet,Numerator be = xDenominator be = yA/C to question,(If we add 1 to the numerator of a fraction becomes 1/2)==> (x+1)/y = 1/2==> 2x – y = -2 ——–(1)Again,(if 5 is subtracted from the denominator, it becomes 1.)==> x/(y-5) = 1==> x – y = -5 ———-(2)Subtract equ(1) & equ(2)==> 2x – x = -2 + 5==> x = 3Keep Value of x in equation (1)==> 2 × 3 – y = -2==> y = 6 + 2==> y = 8HenceFraction will be (x/y) = 3/8_________________Answer VerificationCase(1).(If we add 1 to the numerator of a fraction becomes 1/2)==> (3+1)/8 = 1/2==> 4/8 = 1/2==> 1/2 = 1/2L.H.S. = R.H.S.Case(2).(if 5 is subtracted from the denominator, it becomes 1.)==> 3/(8-5) = 1==> 3/3 = 1==> 1 = 1L.H.S. = R.H.S.please mark as brainliest