SOLUTION: Dan is 5 times as old as mike. in 7 years dan will be 2 more than 3 times as old as mike. find their present ages.

Question 118288: Dan is 5 times as old as mike. in 7 years dan will be 2 more than 3 times as old as mike. find their present ages.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let d = Dan's; present age
Let m = Mike's present age
:
Just write an equation for what it says:
"Dan is 5 times as old as mike. "
d = 5m
:
In 7 years we have:
(d+7)
and
(m+7)
:
"in 7 years dan will be 2 more than 3 times as old as mike."
d + 7 = 3(m+7) + 2
d + 7 = 3m + 21 + 2
d + 7 = 3m + 23
d = 3m + 23 - 7
d = 3m + 16
:
We know that d = 5m; substitute 5m for d and solve for m
5m = 3M + 16
5m - 3m = 16
2m = 16
m = 16/2
m = 8
therefore
d = 5(8) = 40
:
:
Check solution in the statement:
"in 7 years dan will be 2 more than 3 times as old as mike."
40 + 7 = 3(8+7) + 2
47 = 3(15) +2; confirms out solution

RELATED QUESTIONS
Q1: Three years ago, Mark's age was 1 year more than thrice Aaron's. Four years from... (answered by stanbon)

Dan is 14 years older than Marge, 8 years ago, Dan was three times as old as Marge. Find... (answered by josgarithmetic)

Dan is 3 times as old as mo, and in 6 years he will be twice as old. How old are Dan and... (answered by macston)

Dan is twice as old as Mike Mike is 4 years younger than Ben Ben is 17 years younger... (answered by josmiceli)

Herbert is 5 times as old as mike. If the sum of their ages is 18 years, find their... (answered by checkley79)

Betty is now three times as old as mike,but in five years she will be only twice as old... (answered by stanbon,Natolino1983)

Betty is now three times as old as Mike, but in five years she will be only twice as old... (answered by Alan3354)

Jack is 3 times as old as Lacy. 8 years from now the sum of their ages will be 60. How... (answered by MathLover1)

Cary is 7 years older than Dan. In 5 years the sum of their ages will be 93. Find the age (answered by addingup)