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
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
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