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?
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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
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