The denominater of a rational number is 2 more than the numarator if 3 is added to the denominator the number obatined is 1/2.find the rational number
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Let us assume, x is the numerator and y is the denominator of the rational number.
Given:
y = x + 2
y - x = 2 -------------1
Also given:
x / (y + 3) = 1/2
2x = y + 3
2x - y = 3 -------------2
Adding equation 1 and equation 2
x = 5 and y = 2 + x = 2 + 5 = 7
The rational number = 5/7
Given:
y = x + 2
y - x = 2 -------------1
Also given:
x / (y + 3) = 1/2
2x = y + 3
2x - y = 3 -------------2
Adding equation 1 and equation 2
x = 5 and y = 2 + x = 2 + 5 = 7
The rational number = 5/7
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