Tom is 6 times as old as Todd. In 5 years Tom's age will be 31 years more than 2 times as old as Todd. How old is Tom? x = Todd's age now 6x = Tom's age now {Tom is 6 times as old as Todd} x + 5 = Todd's age in 5 years {added 5 onto current age} 6x + 5 = Tom's age in 5 years {added 5 onto current age} 6x + 5 = 2(x + 5) + 31 {in 5 years, Tom will be 31 more than 2 times Todd} 6x + 5 = 2x + 10 + 31 {used distributive property} 4x + 5 = 2x + 41 {combined like terms} 4x = 36 {subtracted 2x and 5 from each side} x = 9 {divided each side by 2} 6x = 54 {substituted 13, in for x, into 6x} Tom is 54  Algebra House Comments are closed.

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