The denominator of a rational no. is greater than it's numerator by 6. If the numerator is decreased by 1 and the denominator increased by 1, the number obtained is 1/3 find the rational no.
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let the numerator be x then denominator will be x+6 then the fraction will be x/x+6
ATQ:
x-1/x+6+1 = 1/3
x-1/x+7 = 1/3
by cross multiplication
3(x-1) = x+7
3x-3 = x+7
2x = 10
x=5
numerator = 5
denominator = 5+6 = 11
rational no is 5/11
solve this by middle term split method to get your answer
Step-by-step explanation:
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