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Jordan is 12 years older than Anna. The
sum of their ages is 50. Find the age of
each person.
First complete the equations below, where I stands for
Jordan's age and A stands for Anna's age.
J = [?] + A; J + A = []
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Answer :

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Answer:

  • J = [12] +A
  • J + A = [50]

Step-by-step explanation:

If Anna's age is represented by A, then 12 more than Anna's age will be ...

  12 + A

Jason's age is said to be 12 more than Anna's age, so ...

  J = 12 + A

__

The sum of their ages will be J + A. That is said to be 50, so ...

  J + A = 50

_____

These equations can be solved by using the first to substitute for J in the second.

  (12 +A) +A = 50

  2A = 38 . . . . . . . . subtract 12

  A = 19 . . . . . . . . . . divide by 2

  J = 12 +19 = 31 . . . find Jason's age

Jason is 31; Anna is 19.

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