The denominator of a positive rational number is 4 more than its numerator. If the numerator is increased by 6 and the denominator is increased by 5, then the obtained number is 1.5 times the initial rational number. Find the sum of the numerator and the denominator of the initial rational number.
ATQ, Let, the numerator be a. So, rational number = a/(a + 4) ATQ,  Sum of the denominator and numerator = 2a + 4 = 40
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