A fraction is such that if the double of the numerator and the triple of the denominator is changed by +10% and 30% respectively then we get 33% of 16/21. Find the fraction.
Answers
Answer:
the fraction. = 78/175
Step-by-step explanation:
A fraction is such that if the double of the numerator and the triple of the denominator is changed by +10% and 30% respectively then we get 33% of 16/21. Find the fraction.
Let say Fraction = N/D
double of the numerator = 2N
changed by +10% = 2N + (10/100)2N = 2.2N
triple of the denominator = 3D
changed by +30% = 3D + (30/100)3D = 3.9D
New number = 2.2N/3.9D = 22N/39D
33% of 16/21 = (33/100) * (16/21)
= (11/25)(4/7)
= 44/175
22N/39D = 44/175
=> N/D = (44 * 39 )/( 22 * 175)
=> N/D = 78 /175
the fraction. = 78/175
Answer:
Let Fraction = x/y
double of the numerator = 2x
changed by +10% = 2x + (10/100)2x = 2.2x
triple of the denominator = 3y
changed by +30% = 3y + (30/100)3y = 3.9y
New fraction = 2.2x/3.9y = 22x/39y
33% of 16/21 = (33/100) * (16/21)
= (11/25)(4/7)
= 44/175
22x/39y = 44/175
=> x/y = (44 * 39 )/( 22 * 175)
=> x/y = 78 /175
The new fraction = 78/175