Question: Fred is 4 years older than Barney. Five years ago the sum of their ages was 48. How old are they now? Represent the AGES NOW: Barney’s age: x Fred’s age: x + 4 (Because he is 4 years older than Barney) Represent the AGES five years ago: Barney = x - 5 Fred = x + 4 - 5 = x -1 Represent the equation: Equation for the sum of their ages : x - 5 + x - 1 = 48 2x - 6 = 48 2x = 48 + 6 x = 54/2 or 27 ANSWER: Barney is now 27. Fred = x + 4 = 27 + 4 = 31 now. CHECK: 5 years ago, Barney was 27-5 = 22 5 years ago, Fred was 31-5= 26 The sum of their ages was 22+26 = 48
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