SOLUTION: The sum of the age of the two sisters is 35. The age of the older sister is 2 more than twice the age of younger sister, how old are they now?

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Question 1187465: The sum of the age of the two sisters is 35. The age of the older sister is 2 more than twice the age of younger sister, how old are they now?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
system%28v=2j%2B2%2Cv%2Bj=35%29

2j%2B2%2Bj=35
3j=33
j=11----------younger sister
v=24----------older sister

Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the age of the younger sister.

Then the age of the older sister is  (2x+2)  ("2 more than twice the age of younger sister").



The sum of their ages is 35:


    x + (2x+2) = 35.


Simplify and find x


    3x + 2 = 35

    3x = 35 - 2 = 33

     x          = 33/3 = 11.


The younger sister is 11 years old.


The older sister is then  2*x+2 = 2*11+2 = 22+2 = 24  years old.

Solved.