Math, asked by batismarkalexi5963, 9 months ago

The sum of the numerator and denominator of a fraction is 12 if the denominator is increased by 1the fraction become 7/6find the fraction

Answers

Answered by ItzAditt007
0

{\huge{\purple{\mathbb{\bold{ANSWER}}}}}

▪︎ Let the fraction be x/y.

{\large{\blue{\bold{\underline{Acc\:To\:Que:-}}}}}

=》 x+y = 12. ---(1)

=》 x/y+1 = 7/6.

=》 6(x) = 7(y+1).

=》 6x = 7y+7.

=》 6x-7y = 7. ---(2).

{\large{\blue{\bold{\underline{Now,}}}}}

▪︎ By multiplying eq(1) by 6 we get,

=》 6(x+y = 12).

=》 6x+6y = 72. ---(3).

▪︎ By Subtracting eq(2) From (3) we get,

=》 (6x+6y)-(6x-7y) = 72-7.

=》 6x+6y-6x+7y = 65.

=》 13y = 65.

=》 y = 65/13.

{\large{\green{\boxed{\bold{=》\:y\:=\:5.}}}}}

▪︎ Putting y=5. in eq(1) we get,

=》 x+5 = 12.

=》 x = 12-5.

{\large{\green{\boxed{\bold{=》\:x\:=\:7.}}}}}

{\large{\blue{\bold{\underline{Therefore\:Fraction:-}}}}}

= x/y

{\large{\red{\boxed{\bold{=\:7/5.}}}}}

☆ Therefore the required fraction is 7/5.

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