Mike is 5 years more than twice as old as tom. the sum of their ages is 65. how old is mike? mike is years old. a. 20 b. 30 c.45 d. 65

Let m = mike and t = tom
m = 5 + 2t
m + t = 65

Plug the first equation into the second equation for the m.
5 + 2t + t = 65
combine like terms
5 + 3t = 65
subtract 5 from both sides
3t = 60
divide both sides by 3
t = 20
m = 5 + 2t
m = 5 + 2(20)
m = 5 + 40
m = 45
t = 20
20 + 45 = 65 CHECKS
Answer is C. Mike is 45 years old

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