A fraction in reduced form is such that when it is squared and then its numerator is reduced by 33(1...
A fraction in reduced form is such that when it is squared and then its numerator is reduced by 33(1/3)% and denominator is reduced to 20%, its result is twice the original fraction. The sum of numerator and denominator is:
Answer/Solution
8
Steps/Work
Solution: Let the fraction be x/y.
When fraction is squared its numerator is reduced by 33(1/3) and denominator is reduced by 20%.
According to question,
(x/y)2 * 33(1/3)%/20% = 2(x/y).
Or, (x/y)2 * (2/3)/(1/5) = 2(x/y).
Or, x/y = 3/5. Sum of numerator and denominator is,
(x+y) = 3+5
= 8.
Answer: Option A
When fraction is squared its numerator is reduced by 33(1/3) and denominator is reduced by 20%.
According to question,
(x/y)2 * 33(1/3)%/20% = 2(x/y).
Or, (x/y)2 * (2/3)/(1/5) = 2(x/y).
Or, x/y = 3/5. Sum of numerator and denominator is,
(x+y) = 3+5
= 8.
Answer: Option A