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Question 407848: In January of the year 2000, Sharon was one more than eleven times as old as her son,Jordan. In January of 2009, she was seven more than three times as old as him. How old was Jordan in January of 2000?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! In January of the year 2000, Sharon was one more than eleven times as old as her son, Jordan.
In January of 2009, she was seven more than three times as old as him.
How old was Jordan in January of 2000?
:
Let s = Sharon's age in 2000
Let j = son's age in 2000
:
Write an equation of each statement:
:
"In January of the year 2000, Sharon was one more than eleven times as old as her son, Jordan."
s = 11j + 1
:
"In January of 2009, she was seven more than three times as old as him."
s + 9 = 3(j+9) + 7
s + 9 = 3j + 27 + 7
s + 9 = 3j + 34
s = 3j + 34 - 9
s = 3j + 25
Replace s with (11j+1)
11j + 1 = 3j + 25
11j - 3j = 25 - 1
8j = 24
j = 
j = 3 yrs old, Jordan in 2000
:
:
Check this:
Find s
s = 11(3) + 1
s = 34 yrs old, Sharon in 2000
check this in the statement:
"In January of 2009, she was seven more than three times as old as him."
34 + 9 = 3(3+9) + 7
43 = 3(12) + 7
43 = 36 + 7; confirm our solution
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