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according to the question, A is 19 years younger than B and C is 11 years older than B and sum of their ages is 199 years.
let the age of B be x.
therefore age if A = x - 19
and age if C = x + 11
now, sum of their ages = 199 years
→ x + (x - 19) + (x + 11) = 199 years
→ x + x - 19 + x + 11 = 199 years
→ 3x - 8 = 199 years
→ 3x = 199 + 8
→ 3x = 207 years
→ x = 207/3
→ x = 69
hence, their ages :-
• B = x = 69 years
• A = x - 19 = 69 - 19 = 50 years
• C = x + 11 = 69 + 11 = 80 years
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