The numerator of a rational number is 4 less than its denominator. If 1 is added to both its numerator and denominator, it becomes 2/3.Find the rational number.
The numerator of a rational number is 4 less than its denominator. If 1 is added to both its numerator and denominator, it becomes 2/3.Find the rational number.
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Answer:
8/11
Step-by-step explanation:
Let the denominator be x
Numerator=x-4
Therefore, fraction=(x-4)/x
A.T.Q
x-4+1/x+1=2/3
x-3/x+1=2/3
By cross multiplying,
3(x-3)=2(x+1)
3x-9=2x+2
x=11
Therefore fraction=11-4/11=8/11
hope it helps you