Tony is twice as old as Jon. Jon is five years older than Matt. Angie is five years older than half of Jon's age. If the sum of their ages is 180, how old is Jon? x = Jon's age 2x = Tony's age {Tony is twice as old as Jon} x  5 = Matt's age {Jon is five years older than Matt} 0.5x + 5 = Angie's age {Angie is five years older than half of Jon's age} x + 2x + x  5 + 0.5x + 5 = 180 {the sum of their ages is 180} 4.5x = 180 {combined like terms} x = 40 {divided each side by 4.5} Jon is 40  Algebra House
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