Answered

Anna’s present age is b. Cara’s present age is 5 more than twice Anna’s age. The sum of their ages is 77.

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Problem:

Anna’s present age is b. Cara’s present age is 5 more than twice Anna’s age. The sum of their ages is 77.

Solution:

Anna’s present age is b. Cara’s present age is 5 more than twice Anna’s age

Let b be the Anna's age

Then let 5 + 2b be the Cara's age

The sum of their ages is 77

  • (Anna's age) + (Cara’s age) = 77

In equation:

  • b + (5 + 2b) = 77

Solve the value of b which is the Anna's age to the problem equations.

  • b + (5 + 2b) = 77
  • 3b + 5 = 77
  • 3b = 77 - 5
  • 3b = 72
  • 3b/3 = 72/3
  • b = 72/3
  • b = 24

Substitute the Cara’s age to the present age which is the value of b to the solving the problem equation.

  • Cara’s age = 5 + 2b
  • Cara’s age = 5 + 2(24)
  • Cara’s age = 5 + 48
  • Cara’s age = 53

Checking:

Checking the age's if the answer is correct.

  • (Anna's age) + (Cara’s age) = 77
  • b + (5 + 2b) = 77
  • (24) + (5 + 2(24)) = 77
  • 24 + (5 + 48) = 77
  • 24 + 53 = 77
  • 77 = 77 ✔

Answer:

∴ Therefore, the present age of Anna is 24 years old and Cara is 53 years old to the sum of their ages is 77.

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