Two numbers are in the ratio 6:11. If the 1st number increased by 50% and the 2nd number by 200, New ratio becomes 3:5.Find the original number.
Answers
Answer:
Two numbers x and y are in the ratio 6:11
Proportionally, x/y=6/11 or 11x=6y
If the first number is increased by 50% and the second number by 200, the new ratio becomes 3:5
That is, 1.5x/(y+200)=3/5 or 5*1.5x=3(y+200)
We have a system of equations
11x=6y
7.5x=3y+600
I would recommend doubling the second equation and subtracting
11x=6y
- 15x=-6y-1200
-4x=-1200
x=300
if x:y is 6:11, then 300:550 so x and y are 300 and 550
Step-by-step explanation:
Two numbers x and y are in the ratio 6:11
Proportionally, x/y=6/11 or 11x=6y
If the first number is increased by 50% and the second number by 200, the new ratio becomes 3:5
That is, 1.5x/(y+200)=3/5 or 5*1.5x=3(y+200)
We have a system of equations
11x=6y
7.5x=3y+600
I would recommend doubling the second equation and subtracting
11x=6y
- 15x=-6y-1200
-4x=-1200
x=300
if x:y is 6:11, then 300:550 so x and y are 300 and 550