SOLUTION: In 15 years, Maya will be twice as old as David is now. In 15 years, David will be as old as Maya will be in 10 years from now. how old are thet now?

Question 151637: In 15 years, Maya will be twice as old as David is now. In 15 years, David will be as old as Maya will be in 10 years from now. how old are thet now?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let m = Maya's age now
Let d = David's age now
;
Write an equation for each statement;
"In 15 years, Maya will be twice as old as David is now."
m + 15 = 2d
:
"In 15 years, David will be as old as Maya will be in 10 years from now."
d + 15 = m + 10
d = m + 10 - 15
d = m - 5
:
how old are they now?
;
Substitute (m-5) for d in the 1st equation
m + 15 = 2(m-5)
m + 15 = 2m - 10
15 + 10 = 2m - m
m = 25 yrs is m's present age
:
d = m - 5
d = 25 - 5
d = 20 is d's present age
;
:
Check solutions in the statement:
"In 15 years, David will be as old as Maya will be in 10 years from now."
d + 15 = m + 10
20 + 15 = 25 + 10; confirms our solutions
RELATED QUESTIONS
In 15 years, Maya will be twice as old as David is now. In 15 years, David will be as old (answered by stanbon)

In 15 years, Maya will be twice as old as David is now. In 15 years, David will be as old (answered by ankor@dixie-net.com)

In 15 years, Maya will be twice as old as David is now. In 15 years, David will be as... (answered by josmiceli)

In 15 years, Maya will be twice as old as David is now. In 15 years David will be as old... (answered by josmiceli)

In 15 years, Maya will be twice as old as David is now. In 15 years, David will be as old (answered by stanbon)

In 2 years, David will be twice as old as he was 5 years ago. How old is he... (answered by checkley77)

sally is 3 times older that david in five years sally will be twice as old as david how... (answered by askmemath)

Vincent is three times as old as David was two years ago. In three more years, David will (answered by mananth)