SOLUTION: The sum of the present ages of Joey and his mother is 46 years. In 4 years, Joey will be 3 years older than one-half as old as his mother at that time. Find the present ages of Jo

Question 551945: The sum of the present ages of Joey and his mother is 46 years. In 4 years, Joey will be 3 years older than one-half as old as his mother at that time. Find the present ages of Joey and his mother.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
he sum of the present ages of Joey and his mother is 46 years.
In 4 years, Joey will be 3 years older than one-half as old as his mother at that time.
Find the present ages of Joey and his mother.
:
Let m = mom's present age
Let j = Joey's
:
write an equation for each statement:
:
"The sum of the present ages of Joey and his mother is 46 years."
m + j = 46
j = (46-m); we can use this form for substitution
:
" In 4 years, Joey will be 3 years older than one-half as old as his mother at that time."
j + 4 = .5(m + 4) + 3
j + 4 = .5m + 2 + 3
j = .5m + 5 - 4
j = .5m + 1
Replace j with (46-m)
46-m = .5m + 1
46 - 1 = .5m + m
45 = 1.5m
m =
m = 30 yrs is mom's age
then
j = 46 - 30
j = 16 yrs is Joey's age
:
:
Check this in the statement:
"In 4 years, Joey will be 3 years older than one-half as old as his mother at that time. "
16 + 4 = .5(30+4) + 3
20 = .5(34) + 3
20 = 17 + 3
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