The ratio of numerator and the denominator of friction is 5 :3 if 1 is added to the numerator and 3 is added to the denominator the new friction has value 3 upon 2 what is the original fraction
Answers
Answer:
Step-by-step explanation:
Let the original fraction be 5x and 3x
Now
5x+1/3x+3=3/2
2(5x+1)=3(3x+3)
10x+2=9x+9
10x-9x=9-2
x=7
Then
5x=5×7=35
3x=3×7=21
35/21
Hope this will help
Answer:
35/21
Step-by-step explanation:
Given The ratio of numerator and the denominator of friction is 5 :3 if 1 is added to the numerator and 3 is added to the denominator the new friction has value 3 upon 2 what is the original fraction
Let the fraction be x / y = 5 / 3.
So 3 x = 5 y or x = 5 y / 3 --------(1)
According to question,
x + 1 / y + 3 = 3 / 2
2 x + 2 = 3 y + 9
3 y = 2 x - 7 ----------------(2)
Substituting (1) in (2) we get
2 (5 y / 3) - 7 = 3 y
10 y - 21 = 9 y
y = 21----------------(3)
Substituting y in (1) we get
3 x = 5 y
3 x = 5 (21)
x = 35
So the original fraction will be 35 / 21