SOLUTION: Annilee's present age is two-thirds of jessie's present age. in 12 years the sum of their ages will be 54 years. Find their present ages.

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Question 146088This question is from textbook Intermediate algebra
: Annilee's present age is two-thirds of jessie's present age. in 12 years the sum of their ages will be 54 years. Find their present ages. This question is from textbook Intermediate algebra

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = A's age, let j = J's age
;
Write an equation for each statement:
"Annilee's present age is two-thirds of jessie's present age.
a = 2%2F3j
:
" in 12 years the sum of their ages will be 54 years."
(a+12) + (j+12) = 54
a + j + 24 = 54
a + j = 54 - 24
a + j = 30
:
Find their present ages.
:
Substitute 2%2F3j for a in the above equation
2%2F3j + j = 30
5%2F3j = 30
multiply equation by 3
5j = 90
j = 90%2F5
j = 18 yrs old now
and
a = 2%2F318
a = 12 yrs old now
;
:
Check solution in the statement:
"in 12 years the sum of their ages will be 54 years."
(18+12) + (12+12) = 54