Devaughn is 14 years younger than Sydney. The sum of their ages is 76. What is Sydney's age?​

9514 1404 393

  Sydney is 45

Step-by-step explanation:

Let s represent Sydney's age. Then Devaughn's age is (s-14). The total of their ages is ...

  s +(s -14) = 76

  2s = 90 . . . . . . simplify, add 14

  s = 45 . . . . . . . divide by 2

Sydney's age is 45.

___

Check

  Devaughn's age is 45 -14 = 31. Their age total is 45 +31 = 76, as required.

x + (x - 14) = 76

2x - 14 = 76

2x = 90

x = 45

Sydney is 45

45 - 14 = 31

Devaughn is 31

31 + 45 = 76 ✅

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