Beth is 5 years younger than Celeste. Next year, their ages will have a sum equal to 57. How old is Beth and Celeste now?
c = Celeste’s age now
c  5 = Beth’s age now {Beth is 5 years younger than Celeste} c + 1 = Celeste’s age next year {added 1 onto current age} c  4 = Beth’s age next year {added 1 onto current age} c + 1 + c  4 = 57 {next year, their ages will have a sum equal to 57} 2c  3 = 57 {combined like terms} 2c = 60 {added 3 onto each side} c = 30 {divided each side by 2} c  5 = 25 {substituted 30, in for c, into c  5} Celeste is 30 now Beth is 25 now Ask Algebra House
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