Question 185256
Let t = Ty's present age
Let d = daughter's present age
:
Write an equation for each statement:
:
"Tyrone is twice as old as his daughter."
t = 2d
:
"In six years Tyrone's age will be three times what his daughter's age was six years ago."
t + 6 = 3(d - 6)
t + 6 = 3d - 18
t = 3d - 18 - 6
t = 3d - 24
:
From the 1st statement, replace t with 2d in the above equation
2d = 3d - 24
+24 = 3d - 2d
d = 24 yrs is daughter's present age
then, obviously, 48 yrs is Ty's age
;
:
Check solutions in the statement:
"In six years Tyrone's age will be three times what his daughter's age was six years ago."
48 + 6 = 3(24 - 6)
54 = 3(18)