SOLUTION: 1)Samantha is 8 and two-third years older than Jason.The sum of their age is 23 years.How old are Samantha and Jason?

Question 164506: 1)Samantha is 8 and two-third years older than Jason.The sum of their age is 23 years.How old are Samantha and Jason?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
1)Samantha is 8 and two-third years older than Jason.
The sum of their age is 23 years.
How old are Samantha and Jason?
:
Let s = Samantha's age now
Let j = Jason's age now
:
Write an equation for each statement:
:
"Samantha is 8 and two-third years older than Jason."
s = j + 8
Convert to an improper fraction
s = j +
get rid of the denominator, multiply equation by 3
3s = 3j + 26
:
"The sum of their age is 23 years"
s + j = 23
s = 23 - j
:
.How old are Samantha and Jason?
:
Substitute (23-j) for s in the equation: 3s = 3j + 26
3(23-j) = 3j + 26
:
69 - 3j = 3j + 26
:
69 - 26 = 3j + 3j
;
43 = 6j
j =
j = 7 years old now
then
s = 23 - 7
s = 15 yrs old now
;
:
We can check that in the 1st statement
s = j + 8
15 = 7 + 8
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