SOLUTION: Jason is 6 years older than his sister. Their mother is years older than the sum of their ages. If their mother is 39, how old is Jason?

Question 837543: Jason is 6 years older than his sister. Their mother is years older than the sum of their ages. If their mother is 39, how old is Jason?
Answer by mxgirl22(39) (Show Source): You can put this solution on YOUR website!

Jason is 6 years older than his sister. Their mother is years older than the sum of their ages. If their mother is 39, how old is Jason?
-------------------------------------------------------
1.) Get information for problem.
Let j=Jason
Let s=sister
Read first sentence-
Jason is 6 years older than his sister.

So we can say: j=s+6

Read the second sentence-
Their mother is the sum(+) of their ages.

So from there we could say: j+s=Mothers age

Read the third sentence-
If their mother is 39...
-------------------------------------------------------
2nd.) Now we know how to set up the equation:
It should be-

(s+6)+s=39
2s+6=39
2s+6-6=39-6
2s=33
2s/2=33/2
s=16.5 <----------------Sisters age

-------------------------------------------------------
3rd.) From step 1, we know since Jason is 6 years older than his sister we are going to add. Use the value we got for his sisters age in step 2.

j=s+6
j=16.5+6
j=22.5 <---------------Jasons age

-------------------------------------------------------
4th.) Just to check.
Jasons age+Sisters Age=Mothers age

j+s=mothers age
(22.5)+(16.5)=39
39=39
-------------------------------------------------------
Jason is 22.5 years old.

RELATED QUESTIONS
Eliasbeth is 6 years older than her sister elisa. Their mother's age is twice the sum of... (answered by sudhanshu_kmr)

sues mother is 22 years older than susan and the sum of their ages is 60. find their... (answered by lenny460)

A mother is 15 years older than her daughter. if the sum of their ages is 51, how old is... (answered by karan037,lynnlo)

Chris is five years older than his sister. The sum of their ages is 39. Find Chris's... (answered by TimothyLamb)

amar is five years older than his sister , the sum of their ages is 39 . find amar age (answered by Alan3354)

marks mother is 32 years older than mark. the sum of their ages is 66. how old is... (answered by Cromlix)

Gaurav is 3 years older than the twins, and five years younger than his sister. the sum... (answered by TimothyLamb)

A mother is 36 years older than her daughter if the ratio of their ages are 24:15find... (answered by ikleyn)

bob is 6 years older than his sister, and the sum of their ages is 32. how old... (answered by jorel1380)