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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Answer:
The integer is 4.
Step-by-step explanation:
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Answer:
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
Right arrow(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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