❥︎❥︎The denominator of a rational number is greater than its numerator by 7. If the numerator is increased by 17 and the denominator is reduced by 5,the obtained number is a whole number 2.Find the rational number.
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let a/b is the fraction,
b-7=a
b=a+7
a+17/b-5=2
a+17/a+7-5=2
a+17/a+2=2
a+17=2a+4
a-2a=4-17
-a=-13
a=13
a = 13
b = a+7 = 13+7 = 20
So, the rational number is 13/20.
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