SOLUTION: Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now. If x represents Sarah's age now, which of the following

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now. If x represents Sarah's age now, which of the following       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1123140: Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now.
If x represents Sarah's age now, which of the following expressions represents Ralph's age in six years?
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
system%28y=3x%2Cy%2B6=2%28x%2B6%29%29

y=-6%2B2%28y%2F3%2B6%29
3y=-18%2B2%28y%2B18%29
3y=2y%2B36-18
y=18

In six years, Ralph will be 24.
y+6=24

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x=age of Sara
3x=age of Ralph
after 6 years:
x%2B6=age of Sara
3x%2B6=age of Ralph, where he will be twice as old as Sara
so that:
3x%2B6=2%28x%2B6%29
3x%2B6=2x%2B12
3x-2x=12-6
x=6
Therefore:
x=6 => age of Sara
3x=3%286%29=18 => age of Ralph