Math, asked by mayukharajeesh144, 9 months ago

The numerator of a fraction is 11 less than its denominator sum of the numerator and denominator is 37 which is that fraction?​

Answers

Answered by Moseley
8

Answer:

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Answered by ShreyaSingh31
9

\bf{\huge{\underline{\rm{\red{Answer:}}}}}

Let the denominator of the fraction be x

As per the first condition :-

The numerator of a fraction is 11 less than its denominator,

°Numerator = x - 11

Fraction is in the form,

\bf\large\frac{Numerator}{Denominator}

The numerator here = x - 11

The denominator here = x

Fraction would be in the form,

\bf\large\frac{</u><u>x-11</u><u>}{</u><u>x</u><u>}

As per the second condition :-

sum of the numerator and denominator is 37,

x - 11 + x = 37

2x - 11 = 37

2x = 37 + 11

2x = 48

x = \bf\large\frac{48}{2}

x = 24

\bf{\underline{\boxed{\pink<strong> </strong>{<strong>Denominator</strong>\: <strong>of </strong>\:<strong> </strong><strong>the</strong><strong> </strong>\:<strong> </strong><strong>fraction </strong><strong> </strong>\:<strong> </strong><strong>=</strong><strong> </strong><strong>x </strong><strong>=</strong><strong> </strong><strong>24</strong><strong> </strong>}}}}

\bf{\underline{\boxed{\blue {Numerator\:of\: the\: fraction \:= x - 11 = 24 - 11 = 13}}}}

Fraction = \bf\large\frac{13}{24}

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