the numerator a rational number is 2 more than 3 times the denominator if the denominator is increased by 5 and numerator is decreased by 5 the number obtained is 3 by 4 find the rational number
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the rational number will be
11/3
let the denomination be X
then the numerator will be 3X+2
according to question
3X+2-5 / X+5= 3/4
3X-3 / X+5 = 3/4
method of cross multiplication
12X-12=3X+15
12X-3X=15+12
9X= 27
X= 27/9
X=3
so the rational number is
3×3+2 /3
or 11/3
Hope you understand
11/3
let the denomination be X
then the numerator will be 3X+2
according to question
3X+2-5 / X+5= 3/4
3X-3 / X+5 = 3/4
method of cross multiplication
12X-12=3X+15
12X-3X=15+12
9X= 27
X= 27/9
X=3
so the rational number is
3×3+2 /3
or 11/3
Hope you understand
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