SOLUTION: Mr. Munch is twice as old as his daughter. In two years, he will be four times as old as his daughter was fifteen years ago. How old are they now?

Question 693151: Mr. Munch is twice as old as his daughter. In two years, he will be four times as old as his daughter was fifteen years ago. How old are they now?

Found 2 solutions by stanbon, DrBeeee:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Mr. Munch is twice as old as his daughter. In two years, he will be four times as old as his daughter was fifteen years ago. How old are they now?
-----
Equations:
m = 2d
m+2 = 4(d-15))
---
Substitute for "m" and solve for "d"
2d+2 = 4d-60
2d = 62
daughter = 31 yrs
----
Solve for "m":
m = 2d
Mr. Munch = 2*31 = 62 yrs
==============================
Cheers,
Stan H.
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Let M = Mr. Munch's present age
Let D = his daughter's present age.
The problem statement gives use two equations
(1) M = 2*D and
(2) M + 2 = 4*(D - 15)
To solve, substitute (1) into (2) to get
(3) 2*D + 2 = 4*D - 60 or
(4) 2*D = 62 or
(5) D = 31, then using (1) we get
(6) M = 62
Check these answers with (2).
Is (62 + 2 = 4*(31 - 15))?
Is (64 = 4*16)?
Is (64 = 64)? Yes
Answer: Mr. Munch is 62 and his daughter is 31.
RELATED QUESTIONS
Mr.Munch is twice as old as his daughter. In two years, he will be four times as old as... (answered by lwsshak3)
Mr. Wong is 4 times as old as his daughter Sylvia. In 10 years Mr. Wong will be 10 times... (answered by macston)
In 10 years time a father will be twice as old as his daughter.10 years ago he was six... (answered by ikleyn)
Two years ago a man was six times as old as his daughter. In 18 years he will be twice as (answered by ankor@dixie-net.com)
A man is four times as old as his daughter. Six years ago he was ten times as old as his... (answered by Alan3354,josgarithmetic)
Six years ago, Joe Foster was two years more than five times as old as his daughter. Six... (answered by ankor@dixie-net.com)
In three years time, Mr. Sullivan will be three times as old is his daughter. Six years... (answered by ankor@dixie-net.com)
A father is four times as old as his daughter is now. In 20 years he will be only twice... (answered by Mathtut)
A father is four times as old as his daughter is now. In 20 years he will be only twice... (answered by Mathtut)