SOLUTION: Aj's mom likes making people think with her intriguing statements. When asked what her age is, she said that seven years ago, she was eleven times as old as her daughter. Now she i
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Question 1186622: Aj's mom likes making people think with her intriguing statements. When asked what her age is, she said that seven years ago, she was eleven times as old as her daughter. Now she is four times as old as her daughter. How old is Aj's mom?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
When asked what her age is, she said that seven years ago, she was eleven times as old as her daughter.
m - 7 = 11(d-7)
m - 7 = 11d - 77
m = 11d - 77 + 7
m = 11d - 70
Now she is four times as old as her daughter.
m = 4d
replace m with 4d in the first equation
4d = 11d - 70
70 = 11d - 4d
70 = 7d
d = 70/7
d = 10 yrs is daughter's age
:
How old is Aj's mom?
m = 4(10)
m = 40 yrs is Mom's age
:
:
Check in the first statement
40 - 7 = 11(10 - 7)
33 = 11(3)
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