SOLUTION: Beth is 5years younger than Celeste next year their age will have a sum equal to 57 how old each now

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Question 1111421: Beth is 5years younger than Celeste next year their age will have a sum equal to 57 how old each now
Found 2 solutions by josmiceli, ankor@dixie-net.com:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Beth's age now
Let +b+ = Celeste's age now
----------------------------------
(1) +a+=+b+-+5+
(2) +%28+a+%2B+1+%29+%2B+%28+b+%2B+1+%29+=+57+
-----------------------------------
(2) +a+%2B+b+%2B+2+=+57+
(2) +a+%2B+b+=+55+
and
(1) +-a+%2B+b+=+5+
-----------------------------
Add (1) and (2)
+2b+=+60+
+b+=+30+
and
(1) +a+=+b+-+5+
(1) +a+=+30+-+5+
(1) +a+=+25+
-----------------------
Beth is 25
Celeste is 30
------------------
check:
(2) +a+%2B+b+%2B+2+=+57+
(2) +25+%2B+30+%2B+2+=+57+
(2) +57+=+57+
OK

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Beth is 5years younger than Celeste
b = c - 5
or
b - c = -5
next year their age will have a sum equal to 57
(b+1) + (c+1) = 57
b + c + 2 = 57
b + c = 57 - 2
b + c = 55
:
Use elimination with these two equations
b - c = -5
b + c = 55
-----------------addition eliminates c, find b
2b = 50
b = 50/2
b = 25 yrs is Beth's age
then
25 + c = 55
c = 55 - 25
c = 30 yrs is Celeste's age