Math, asked by mohinderpalgandhi184, 1 day ago

If the same integer is added to the numerator of the fraction 2/7 and subtracted from denominator, the fraction becomes 2. what is the integer?


Answers

Answered by tennetiraj86
32

Step-by-step explanation:

Solution :-

Let the required integer be X

Given fraction = 2/7

If X is added to the numerator then the fraction becomes (2+X)

If X is subtracted from the denominator then the fraction becomes (7-X)

Then the new fraction = (2+X)/(7-X)

According to the given problem

The new fraction = 2

=> (2+X)/(7-X) = 2

On applying cross multiplication then

=> 2+X = 2(7-X)

=> 2+X = 2×7 - 2×X

=> 2+X = 14-2X

=> X+2X = 14-2

=> 3X = 12

=> X = 12/3

=> X = 4

Therefore X = 4

Answer:-

The required integer for the given problem is 4

Check :-

The fraction = 2/7

If 4 is added to the numerator and 4 is subtracted from the denominator then the new fraction

=> (2+4)/(7-4)

=> 6/3

=> 2

We get the same result

Verified the given relations in the given problem.

Answered by Anonymous
31

Step-by-step explanation:

let the integer be x

2+x / 7-x = 2

2+x = 14 - 2x

2-14 = -2x - x

-12 = -3x

 \frac{ - 12}{ - 3}  = x

4= x

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