SOLUTION: Twice my age added to twice the age of my bigger sister is equal to 50 years. Given that I am more than 10 years old. Calculate the age of myself and my older sister.

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Question 1184260: Twice my age added to twice the age of my bigger sister is equal to 50 years. Given that I am more than 10 years old. Calculate the age of myself and my older sister.
Found 2 solutions by math_helper, Theo:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!


Let your age = A

Then your sister's age is  A + d   where d > 0



From the given problem statement:

2A + 2(A+d) = 50



This simplifies to   d = 25-2A



Check values of A, where A>10:



 A      d

---    ---

11      3     -->  A=11, A+d=14   (2*11+2*14 = 22 + 28 = 50)

12      1     -->  A=12, A+d=13   (2*12+2*13 = 24 + 26 = 50)

13     -1     -->  Your "older sister" is younger than you, stop here



Two possible answers:

 You are 11 and your sister is 14

    or

 You are 12 and your sister is 13

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
x = your age.
y = your sister's age.
2x + 2y = 50
this can be simplified to x + y = 25.
x > 10
y = 25 - x

when x = 11, y = 25 - 11 = 14
when x = 12, y = 25 - 12 = 13
when x = 13, y = 25 - 13 = 12

you can only be 11 or 12 years old.
less than 11 and you are not greater than 10.
greater than 12 and you are older than your sister.