SOLUTION: A man being asked of his age replied 'three times the age of my wife minus ten, in five years to come hers will be half mine.' What is the sum of their present age?

Algebra ->  Expressions -> SOLUTION: A man being asked of his age replied 'three times the age of my wife minus ten, in five years to come hers will be half mine.' What is the sum of their present age?      Log On


   

Question 109476: A man being asked of his age replied 'three times the age of my wife minus ten, in five years to come hers will be half mine.' What is the sum of their present age?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Right now, 1.M=3W-10
In 5 years, 2.%28W%2B5%29=%28M%2B5%29%2F2
Substitute equation 1 in equation 2,
2.%28W%2B5%29=%28M%2B5%29%2F2
2%28W%2B5%29=%28M%2B5%29
2%28W%2B5%29=%28%283W-10%29%2B5%29
2W%2B10=3W-5
W=15
M=3W-10
M=3%2815%29-10
M=35
Let's check the answers.
Right now, he's 35 and she's 15.'three times the age of my wife minus ten'
In five years, he'll be 40 and she'll be 20.'in five years to come hers will be half mine'
The sum of their ages now is 35+15=50 years