Jim is 9 years older than June. Alex is 8 years younger than June. If the total of their ages is 82,

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Jim is 9 years older than June. Alex is 8 years younger than June. If the total of their ages is 82, how old is the eldest of them

Let j be Jim's age, a be Alex's age, and u be June's age. We have 3 given equations:

1. j + a + u = 82
2. j = u + 9
3. a = u - 8

Substitute (2) and (3) into (1)
(u + 9) + (u - 8) + u = 82

Combine Like Terms:
3u + 1 = 82

Type this equation into the search engine, and we get u = 27.

The eldest (oldest) of the 3 is Jim. So we have from equation (2)
j = u + 9
j = 27 + 9
j = 36