SOLUTION: jonathan is 32. jonathan is as twice as old as sandy was when jonathan was as old as sandy. how old is sandy?

Algebra.Com
Question 927753: jonathan is 32. jonathan is as twice as old as sandy was when jonathan was as old as sandy. how old is sandy?
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
jonathan is 32. jonathan is as twice as old as sandy was when jonathan was as old as sandy. how old is sandy?
Let x = the number of years ago it was when Jonathan was the age Sandy is now.

Therefore J - x = S  and since J = 32,
         32 - x = S

Jonathan is now twice as old as Sandy was x years ago, so

         J = 2(S - x)  and since J = 32
        32 = 2(S - x)

So we have the system of equations:



solve that system, get x=8, S=24.

Checking:  8 years ago Jonathan was 32-8 or 24.
           8 years ago Sandy was 24-8 or 16.
           Jonathon, being 32 now, is twice Sand'y age then
           which was 16, so it checks.

Edwin




RELATED QUESTIONS

Jonathan is 15 years older than Jean. Six years ago, Jonathan was six times as old as... (answered by satyareddy22)
Lara is twice as old as Jonathan. Jonathan is 6 years younger that Tasha. Tasha is 12... (answered by Alan3354)
Abigail is 6 years older than Jonathan. Six years ago she was twice as old as him. How... (answered by TimothyLamb)
Tong is 26 years old and Sandy is 5 years old. In how many years will tong be twice as... (answered by Fombitz,Alan3354)
Sandy's age is three times Tom's age. Four years from now, Sandy will be twice as old as (answered by josmiceli)
Sandy is twice as old as candy and dandy is nine years older than candy. Three years... (answered by ikleyn)
sandy is three times as old as patty. in six years time sandy will be twice as old as old (answered by josgarithmetic)
Margaret is 16 years younger than Alice. Alice is 3 times as old as Jonathan. A year... (answered by ankor@dixie-net.com)
[ a. Sandy's age is 2 years more than twice Pablo's age. Last year [Pablo] was one-third (answered by TimothyLamb)