SOLUTION: Mr. King is two times as old as his daughter. Ten years ago he lacked 5 years from being three times as old as his daughter was then. Find each of their ages.
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Question 290341: Mr. King is two times as old as his daughter. Ten years ago he lacked 5 years from being three times as old as his daughter was then. Find each of their ages. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Mr. King is two times as old as his daughter.
k = 2d
:
Ten years ago he lacked 5 years from being three times as old as his daughter was then.
k - 10 + 5 = 3(d-10)
:
k - 5 = 3d - 30
:
k = 3d - 30 + 5
:
k = 3d - 25
:
Replace k with 2d
2d = 3d - 25
:
25 = 3d - 2d
:
d = 25 yrs is the daughter
then
2(25) = 50 yrs is Mr K
;
:
Check solution in the statement:
"Ten years ago he lacked 5 years from being three times as old as his daughter was then."
50 - 10 = 3(15) - 5
40 = 45 - 5
