Today Jim is twice as old as Fred and Sam is 2 years younger than Fred. Four years ago Jim was 4 times as Sam. How old is Jim now?
Today Jim is twice as old as Fred and Sam is 2 years younger than Fred. Four years ago Jim was 4 times as Sam. How old is Jim now? Correct Answer 20
let J, S, and F = the current age of Jim, Fred, and Sam, respectively and create the equations:J = 2FAndS = F - 2S + 2 = FAndJ - 4 = 4(S - 4)J - 4 = 4S - 16J = 4S - 12Since J = 2F we have:2F = 4S - 12F = 2S - 6Since S + 2 = F, we have:S + 2 = 2S - 68 = S, so J = 4 x 8 - 12 = 20.Answer: 20
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Feb 20, 2025