SOLUTION: Two numbers are in the ratio 6:11. If the first number is decreased by 4 and the second is increased by 6, the resulting numbers are in the ration 4:9. Find the original numbers.

Question 901436: Two numbers are in the ratio 6:11. If the first number is decreased by 4 and the second is increased by 6, the resulting numbers are in the ration 4:9. Find the original numbers.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Two numbers are in the ratio 6:11. If the first number is decreased by 4 and the second is increased by 6, the resulting numbers are in the ration 4:9. Find the original numbers
***
let x=original numerator
let y=original denominator
..
x/y=6/11
y=11x/6
..
(x-4)/(y+6)=4/9
9x-36=4y+24
9x-36=(44x/6)+24
lcd:6
54x-216=44x+144
10x=360
x=36
y=11*36/6=66
original numerator=36
original denominator=66

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