1. Original Statements:

    • Jared is 5 years older than Alma.
    • In 9 years, the sum of their ages will be 67.
  2. Identify the Unknowns:

    • Let’s call Alma’s current age A.
    • Let’s call Jared’s current age J.
  3. Translate the Statements into Equations:

    • “Jared is 5 years older than Alma” translates to “J = A + 5”.
    • “In 9 years, the sum of their ages will be 67” translates to “(A + 9) + (J + 9) = 67”.
  4. Construct the Original Equations:

    • We have two equations now:
      1. J = A + 5
      2. (A + 9) + (J + 9) = 67
  5. Solve the Equations:

    • First, substitute the value of J from the first equation into the second equation: (A + 9) + (A + 5 + 9) = 67
    • Combine like terms: 2A + 23 = 67
    • Subtract 23 from both sides: 2A = 44
    • Divide by 2: A = 22
  6. Find Jared’s Age:

    • Use the first equation J = A + 5 to find Jared’s age: J = 22 + 5
    • J = 27
  7. Final Result:

    • Jared is currently 27 years old.

So, Jared is 27 years old right now.

Assignment8Question1