Dennis is 10 years older than Toby, and Cindy is 5 years younger than Toby. If the sum of their ages is 50, How old is Toby? How old is Cindy? How old is Dennis?
x = Toby’s age
x + 10 = Dennis’ age {Dennis is 10 years older than Toby} x  5 = Cindy’s age {Cindy is 5 years younger than Toby} Add the ages together, and set equal to 50. x + x + 10 + x  5 = 50 {the sum of their ages is 50} 3x + 5 = 50 {combined like terms} 3x = 45 {subtracted 5 from each side} x = 15 {divided each side by 3} x + 10 = 25 {substituted 15, in for x, into x + 10} x  5 = 10 {substituted 15, in for x, into x  5} Toby is 15 Dennis is 25 Cindy is 10 Ask Algebra House
2 Comments
Janet agoy
3/12/2022 11:42:19 am
Thank your very much.....and thack you for your quick reponce.
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Algebra House
3/12/2022 12:00:59 pm
Anytime. Thanks for asking!
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