Question

The denominator of a rational number is greater than its numerator by 4 If the numerator is increased by 1 and the denominator i s increased by 3 the number obtained is 1/2 .Find the rational number

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Answer 1

Answer:

Suppose that

Numerator = x

Denominator= x+4

Rational number = x/x+4

According to the Question

x + 1 / x+ 4+3=1/2

x+1 /x+7= 1/2

2(x+1)= 1(x+7)

2x+2=x+ 7

2x-x=7-2

x=5

Therefore ,Rational number = x/x+4

=5/5+4

= 5/9

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Answer 2

Answer:

${\huge{\red{\underline{\bold{Hello\:Mate}}}}}$

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${\green{\bold{\underline{\underline{Given:-}}}}}$

• The denominator of a rational number is greater than the numerator by 4
• If the numerator is increased by 1 and denominator increased by 3 the number obtained is 1/2

${\pink{\bold{\underline{\underline{To\:find:-}}}}}$

• The rational number

${\blue{\bold{\underline{\underline{Solution:-}}}}}$

Let the numerator be x

•°•the denominator be x+4

•°•The number will be $\mathsf{ \dfrac{x}{x+4}}$

According to the Q

$\mathsf{ \dfrac{x+1}{x+4+3}}$=$\mathsf{ \dfrac{1}{2}}$

$\implies$2x+2=x+7

$\implies$2x-x=7-2

$\implies$x=5

•°•The numerator will be 5

•°•The denominator will be 9

•°•The rational number will be 5/9

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$\huge\purple{Hope\:this\:help\:you}$