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) About Me  (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 = 1%2F2(B + 1)

So we have:

system%28B=11%2CS=B%2BA%2CA=expr%281%2F2%29%28B%2B1%29%29

Everywhere there's a B, put 11

system%2811=11%2CS=11%2BA%2CA=expr%281%2F2%29%2811%2B1%29%29

We can dispense with 11=11

system%28S=11%2BA%2CA=expr%281%2F2%29%2811%2B1%29%29

Add the 11+1 and replace it by 12

system%28S=11%2BA%2CA=expr%281%2F2%29%2812%29%29

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

system%28S=11%2BA%2CA=6%29

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

S = 11+6

S = 17

So Sandra is 17.

Edwin

Answer by ikleyn(52775) About Me  (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 12%2F2 = 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.