Question

the denominator of a rational number is greater than its numerator by 5. if the number is increased by 10 and the denominator is decreased by 3 then the new number becomes 2 .find the original number

Answer 1

Answer:

$\bold\purple{Original\:number=\frac{6}{11}}$

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Let's take the numerator as X

So, denominator = X + 5

Fraction = X/(X+5)

According to question now:-

$\tt \frac{X+10}{X+5-3} = 2$

$\mapsto\tt \frac{X +10}{X + 2}= 2$

$\mapsto\tt 2X + 4 = X + 10$

$\mapsto\tt 2X - X = 10 - 4$

$\mapsto\tt X = 6$

$\tt Numerator = X = 6$

$\tt Denominator =X+5 =6+5 = 11$

$\tt Number = \frac{6}{11}$

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