paigemagill19
paigemagill19 paigemagill19
  • 03-03-2021
  • Mathematics
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Kim is 5 years older than her brother Jack. If the sum of their ages is 21, find each of their ages.

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sqdancefan
sqdancefan sqdancefan
  • 03-03-2021

9514 1404 393

Answer:

  • Kim is 13
  • Jack is 8

Step-by-step explanation:

Let k represent Kim's age. Then Jack's age is k-5 and the total of their ages is ...

  k + (k -5) = 21

  2k = 26 . . . . . . . add 5, collect terms

  k = 13 . . . . . . . . . divide by 2; Kim's age

  k -5 = 8 . . . . . . . Jack's age

Kim is 13; Jack is 8.

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