Beth is 5 years younger than celeste. Next year, their ages will have a sum equal to 57. How old is

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Beth is 5 years younger than celeste. Next year, their ages will have a sum equal to 57. How old is each now?

Let b = Beth's age
Let c = Celeste's age

We are given:

1. b = c - 5
2. b + 1 + c + 1 = 57

Substitute (1) into (2)
(c - 5) + 1 + c + 1 = 57

Group like terms:
2c - 3 = 57

Type 2c - 3 = 57 into our search engine, we get c = 30

Substitute c = 30 into Equation (1), we get:
b = 30 - 5
b = 25

Therefore, Beth is 25 and Celeste is 30.