The numerator of a fraction is 3 more than its denominator.If the numerator is increased by 1 and the denominator is doubled,the fraction becomes 9/10. Find the fraction
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Given : The numerator of a fraction is 3 more than its denominator.
numerator is increased by 1 and the denominator is doubled, the fraction becomes 9/10
To Find : Fraction
Solution:
Denominator = x
Numerator = x + 3
Fraction = (x + 3)/x
numerator is increased by 1 = x + 3 + 1 = x+4
denominator is doubled = 2x
fraction becomes 9/10
=> (x + 4)/2x = 9/10
=> 5(x + 4) = 9x
=> 5x + 20 = 9x
=> 4x = 20
=> x = 5
Fraction = (x + 3)/x = (5 + 3)/5
= 8/5
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