SOLUTION: 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?

Question 938774: 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?
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
x = Todd's age now
6x = Tom's age now

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

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