SOLUTION: tyrone is twice as old as his daughter. in six years tyrone's age will be three times what his daughter's age was six years ago.how old are they at the present time
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Question 68552This question is from textbook algebra 1
: tyrone is twice as old as his daughter. in six years tyrone's age will be three times what his daughter's age was six years ago.how old are they at the present time
This question is from textbook algebra 1
Answer by rmromero(383) (Show Source): You can put this solution on YOUR website!
What is asked in the problem?
How old are they at the present time?
Given:
1. Tyrone is twice as old as his daughter.
2. In six years, Tyrone's age will be three times what his daughter was six years ago.
Representation:
Let d = Tyrone's daughter's present age
t = Tyrone's present age
Translate the given sentences to mathematical equation.
Tyrone is twice as old as his daughter. ---> t = 2d
In six years, Tyrone's age will be three times what his daughter was six years ago. ---> t + 6 = 3 (d - 6)
Solve:
t + 6 = 3 (d - 6)
Substitute 2d to t.
2d + 6 = 3d - 18
d = 24 ---> Tyrone's daughter's age
t + 6 = 3d - 18
t + 6 = 3(24) - 18
t = 72 - 18 - 6
t = 48 ---> Tyrone's age
Checking :
t = 2d , t = 48 and d = 24
48 = 2(24)
48 = 48 ---> True
t + 6 = 3d - 18
48 + 6 = 3(24) - 18
54 = 72 -18
54 = 54 ---> True
Therefore Tyrone's present age is 48 and his daughter's present age is 24
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