Math, asked by bhawnajoshi, 5 months ago

guys plz tell que 14​

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Answers

Answered by supriyagoswami242001
0

Step-by-step explanation:

clear nii dikh raha h ...

please dobara post ksro

Answered by Anonymous
1

GiveN:-

  • The denominator of a rational number is greater than the numerator by 7.
  • If the numerator is increased by 17 and denominator is decreased by 6, the new number becomes 2.

To FinD:-

The original number.

SolutioN:-

Let the original number be x/y.

Let the numerator be x and denominator be (x + 7).

Now if the numerator is increased by 17 and denominator is decreased by 6, the new number becomes 2.

  • Numerator = x + 17
  • Denominator = (x + 7) - 6

So,

According to the question,

\large\implies{\sf{\dfrac{x+17}{(x+7)-6}=2}}

\large\implies{\sf{\dfrac{x+17}{x+7-6}=\dfrac{2}{1}}}

\large\implies{\sf{\dfrac{x+17}{x+1}=\dfrac{2}{1}}}

By cross multiplying,

\large\implies{\sf{x+17=2(x+1)}}

\large\implies{\sf{x+17=2x+2}}

\large\implies{\sf{17-2=2x-x}}

\large\implies{\sf{15=x}}

\large\therefore\boxed{\bf{x=15.}}

The number is:-

  1. Numerator = 15
  2. Denominator = x + 7 = 15 + 7 = 22

Therefore,

The original number is 15/22.

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