SOLUTION: Sarah and Jill are sisters. Sarah is one year older than four times jill's age. The sum of their ages is 13 1/2. How old are Sarah and Jill?

Question 613077: Sarah and Jill are sisters. Sarah is one year older than four times jill's age. The sum of their ages is 13 1/2. How old are Sarah and Jill?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
s = S's age
j = J's age
:
Write an equation for each statement:
;
Sarah is one year older than four times Jill's age.
s = 4j + 1
:
The sum of their ages is 13 1/2.
s + j = 13
Replace s with (4j+1)
4j + 1 + j = 13
4j + j = 13 - 1
5j = 12
Let use decimals here
5j = 12.5
Multiply both sides by } which is .2
.2(5j) = .2 * 12.5
j = 2.5 age is J's age
then
s = 4(2.5) + 1
s = 10 + 1
s = 11 yrs is S's age

RELATED QUESTIONS
Mike is 2 years younger than three times Jill�s age. The sum of their ages is 38. Which... (answered by mananth,rothauserc)

"Joel is two years older than Sarah. Sarah is two years older than Michael. The sum of... (answered by ewatrrr,stanbon)

Jack is two years younger than Jill which is 3 times John’s age. If the sum of their... (answered by josgarithmetic,ikleyn,solver91311,greenestamps)

Sarah is three more than four times John's age. The difference in their ages is 33. How... (answered by colliefan)

The sum of the ages of Tom and his daughter Sarah is 58. In one year�s time, Tom will be... (answered by josmiceli)

Sarah is four more than four times as old as Denise. In 8 years the sum of their ages... (answered by Paul)

jack is 3 years older then his sister jill. the sum of their ages is 45. how old are jack (answered by josmiceli)

Jill is 2 times as old as Amanda. The sum of their ages 7 years ago was 13. How old are... (answered by jim_thompson5910,josgarithmetic)

Jack is 4 years older than Jill. Seven years from now the the sum of their ages will be... (answered by mananth)