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?

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!




----------younger sister
----------older sister

Answer by ikleyn(52802)   (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.



RELATED QUESTIONS

The sum of the age of two sisters is 42. The second sister is three more than twice the... (answered by stanbon)
The sum of the age of 2 sisters is 32. One sister is 4 years older than the other. Find... (answered by Cromlix)
Erin has an older sister and a younger sister. Her older sister is one year more than... (answered by ewatrrr)
The sum of Emma’s age and her sisters age is 41 years older than her sister. What is... (answered by Edwin McCravy)
The sum of the ages of three sisters is 78 years. The second sister is eighteen years... (answered by josmiceli,MathTherapy)
Mary is the younger than her sister Joan. The sum of their age is 15. Twice Joan’s age... (answered by marcsam823)
Mary is the younger than her sister Joan. The sum of their age is 15. Twice Joan’s age... (answered by checkley77)
the sum of ages of two sisters is 38years.four years ago the age of the elder sister was... (answered by josgarithmetic)
Lee has an older sister and a younger sister. Her older sister is one year more than... (answered by rapture)