SOLUTION: beth is 11 years old. Sandra is Alice's age older than beth. Alice is half the age beth will be next year. how old is sandra.

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Question 1105553: beth is 11 years old. Sandra is Alice's age older than beth. Alice is half the age beth will be next year. how old is sandra.
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
beth is 11 years old.

B = 11

Sandra is Alice's age older than beth.


S = B + A

Alice is half the age beth will be next year. how old is sandra.


A = (B + 1)

So we have:



Everywhere there's a B, put 11



We can dispense with 11=11



Add the 11+1 and replace it by 12



Multiply the 1/2 by the 12 and get A=6



Replace the A by 6 in S = 11+A:

S = 11+6

S = 17

So Sandra is 17.

Edwin

Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
Beth is 11 years old this year.  Next year Beth will be 12 years old.


Alice is  = 6 years old, according to the condition.


Sandra is Alice's age older than beth, i.e. Sandra age = 11 + 6 = 17.


Solved.   3  short lines solution.


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