SOLUTION: Jack is 3 times as old as Lacy. 8 years from now the sum of their ages will be 60. How old are they now? Cary is 4 years older than Dan. In 5 years the sum of their ages will be

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Jack is 3 times as old as Lacy. 8 years from now the sum of their ages will be 60. How old are they now? Cary is 4 years older than Dan. In 5 years the sum of their ages will be      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1051118: Jack is 3 times as old as Lacy. 8 years from now the sum of their ages will be 60. How old are they now?
Cary is 4 years older than Dan. In 5 years the sum of their ages will be 72. Find the age of each man now.
these QUESTIONS CONFUSED ME :(
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Jack is 3 times as old as Lacy. 8 years from now the sum of their ages will be 60. How old are they now?
let Jack’s age be x
if Jack is 3 times as old as Lacy, then Lacy is x%2F3
8 years from now Jack’s age will be x%2B8 and Lacy will be x%2F3%2B8
if the sum of their ages will be 60, then we have
%28x%2B8%29%2B%28x%2F3%2B8%29=60
x%2B8%2Bx%2F3%2B8=60
x%2Bx%2F3%2B16=60
3x%2F3%2Bx%2F3=60-16
4x%2F3=44
4x=44%2A3
x=%2844%2A3%29%2F4
x=%2811%2A3%29%2F1
x=33-> Jack’s age
then Lacy is x%2F3->33%2F3->11->Lacy’s age


Cary is 4 years older than Dan. In 5 years the sum of their ages will be 72. Find the age of each man now.
let Cary’s age be x
if Cary is 4 years older than Dan, Dan’s age is x-4
In 5+ years will be Cary x%2B5 and Dan will be x-4%2B5=x%2B1
if the sum of their ages will be 72, we have
%28x%2B5%29%2B%28x%2B1%29=72
x%2B5%2Bx%2B1=72
2x%2B6=72
2x=72-6
2x=66
x=33 ->Cary’s age
Dan’s age is x-4=29