SOLUTION: In one year krity will be four rimes as old as danny. ten years from then krity will be twice as old as danny. how old is krity now?
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Question 304834: In one year krity will be four rimes as old as danny. ten years from then krity will be twice as old as danny. how old is krity now?
Sat Prep questions.
Thank You. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! k = Krity's present age
d = Danny's present age
:
Write an equation for each statement:
:
In one year krity will be four rimes as old as danny.
k+1 = 4(d+1)
k + 1 = 4d + 4
k = 4d + 4 - 1
k = 4d + 3
:
ten years from then krity will be twice as old as danny.
That will be 11 yrs from their present ages
k + 11 = 2(d + 11)
k + 11 = 2d + 22
k = 2d + 22 - 11
k = 2d + 11
:
Replace k with (4d+3) (from the 1st equation)
4d + 3 = 2d + 11
4d - 2d = 11 - 3
2d = 8
d =
d = 4 yrs
:
Find k using the 1st equation
k = 4(4) + 3
k = 16 + 3
k = 19 yrs is Krity's age
;
:
Check solution in the 1st original equation
k + 1 = 4(d + 1)
19 + 1 = 4(4 + 1)
20 = 4(5)
