Question

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

Answer 1

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

Answer 2

its B 30 because 30 times 2 then add 5