Problems on Numbers:
1.The numerator and the denominator of a fraction are in the ratio of 3:5. If 3 is added to the numerator, the result of the fraction that has a value 9/5 of the orginal fraction. Find the denominator of the fraction.
Solution:
Let the numerator and the denominator be 3x and 5x respectively.
(3x+3) / 5x = 9/5 (3x/5x)
(3x+3) = 9/5 (3x)
5(3x+3) = 18x
15x+15 = 18x
3x = 15
x = 5.
The denominator is 5x = 25.
2. When the numerator of the fraction increases by 9, the fraction increases by 3/11. Find its denominator.
Solution:
Let the numerator and the denominator be x and y respectively.
x+9 / y = x/y + 3/11
x+9-x / y = 3/11
9/y = 3/11
y = 33.
The denominator is 33.
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