write a proper fraction in our school-black board whose denominator is greater than its
numerator by 5 and when 3 is added to both numerator and denominator it becomes 3/4
Let us form the simultaneous equations and by solving, write the proper fraction on the
black board,
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Let the numerator be x
then required fraction = x/ x+5
ATQ, x+3/x+5+3 = 3/4
4(x+3) = 3(x+8)
4x + 12 = 3x + 24
x = 12
fraction = 12 / 12+5
= 12/17
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