the denominator of rational number is greater than its numerator by 2 if the numerator is increased by 3 and denominator is decreased by 1 the number obtained is 7 by 6 find the rational number
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Step-by-step explanation:
let numerator be x
denominator =(x+2)
atq, x+3/(x+2)-1=7/6
=>x+3/x+1=7/6
=>6(x+3)=7(x+1)
=>6x+18=7x+7
=>18-7=7x-6x
=>11=1x
numerator=>x=11
denominator =(x+2)=11+2=13
the original number is =11/13
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