Devaughn's age is three times Sydney's age. The sum of their ages is 92. What is Devaughn's age?

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Answer 1 · 2015-10-04T19:47:05

Dev is 69 and Syd is 23.

Let Dev's age be #x# and Syd's age be #y#.

Since Dev is 3 times older than Syd, we may write #x=3y#

Since the sum of their ages is 92, we may write #x+y=92#

Now replacing x with 3y, we get : #3y+y=92#

Hence #y=92/4=23# and so Syd is 23 year old.

Back substituting we get Dev is 69 years old.