SOLUTION: joe is 15 yrs younger then his brother. five years from now, three times his own age will equal twice his brother age how old is joe

Question 863081: joe is 15 yrs younger then his brother. five years from now, three times his own age will equal twice his brother age how old is joe

Answer by db12345(1) (Show Source): You can put this solution on YOUR website!
Basically it is important to convert this into algebra so what I did was:
Let Joe's age = x
Let his brothers age = y
Now we write down all information given algebraically.
x=y-15 (joe is 15 years younger)
in 5 years time --> we add 5 to both sides
x+5=y-10
three times his own age will equal twice his brother age how old is joe --> multiply sides
3(x+5) = 2(y-10)
3x+15=2y-20
3x=2y-5
x=(2y-5)/3 (the "/" means divided by)
solving simultaneously
(2y-5)/3 =y-15 (multiply both sides by 3)
2y-5 = 3y-45
y=40
plug in for x
x= 40-15
x=25
Therefore Joe is 25 years old, feel free to double check by doing
3(25+5) = 90
2(40+5) = 90

RELATED QUESTIONS
Five years ago Jacob was one-sixth the age of his brother. Three years time his age... (answered by htmentor)

Ralph is 16 years old. In 2 years he will be double the age of his younger brother Joe.... (answered by josgarithmetic,greenestamps)

Hi can someone help me solving this problem. Thank you very much. 1. Erwins age is... (answered by MathTherapy)

five years ago Jacob was one sixth of the age of his brother. In three years time his... (answered by ankor@dixie-net.com)

paul is seven years younger than his brother. in four years, his brother will be twice as (answered by majo89)

Michael is triple the age of his younger brother Jason. In 4 years, Michael will be twice (answered by josgarithmetic)

Mike is four years older than his brother,Andrew. If five times Andrews age is equal to... (answered by addingup)

Please help me solve this problems : 1. On Dave's birthday, his brother Harry is 17 yrs (answered by josmiceli,Edwin McCravy)

Bill is 2 years older than his brother and 5 years younger than his sister. 5 years ago... (answered by ankor@dixie-net.com)