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If Alvin is 7 years younger than Elga, then Alvin + 7 = Elga. If the sum of their ages is 87, then Alvin + Elga = 87. Substitute Alvin + 7 in the previous equation to get Alvin + (Alvin + 7) = 87. Reduce that and get 2 Alvin = 80 which means that Alvin = 40. That means that Elga = 47.

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