SOLUTION: Steve is three times as old as Theresa. In four years he will be twice as old as she will be. How old is each now?

Question 391902: Steve is three times as old as Theresa. In four years he will be twice as old as she will be. How old is each now?
Answer by AnubhavRane(4) (Show Source): You can put this solution on YOUR website!
Let,
S = Steve's age today
T = Teresa's age today
After four years their ages will be-
Steve : S + 4
Teresa: T + 4
Now let's write their relationships
Today : S = 3T ....(I)
After 4 years: S + 4 = 2(T + 4) ....(II)
Let's substitute S = 3T from equation (I) into equation (II)
3T + 4 = 2(T + 4)
3T + 4 = 2T + 8
3T - 2T = 8 - 4
T = 4 years ... this is Tersa's age today
So Steve's age must be 3T = 3 x 4 = 12 years
RELATED QUESTIONS
Steve is three times as old as Theresa. In four years he willl be twice as old as she... (answered by ankor@dixie-net.com)

stephen is three times as old as theresa. in four yrs, he wil be twice as old as she will (answered by josgarithmetic)

Steve is 5 times as old as Dawn. In 12 years, he will be twice as old as she will be... (answered by KlambinRonsentaswer,josgarithmetic)

Steve, 18 years old, is three times as old as his brother Daniel. How old will Steve be... (answered by ewatrrr)

steve is 5 times as as old as janice in 12 years she will be twice as old as she was... (answered by mananth)

Sam is tree times as old as Steve. In three years he will be twice as old. How old is... (answered by Alan3354)

matthew is 3 times as old as jenny. In 7 years he will be twice as old as she will be... (answered by solver91311)

Matthew is 3 times as old as Jenny. In 7 years, he will be twice as old as she will be... (answered by ankor@dixie-net.com)