Multiple choice

At present, Julia's father is 2 years older than 5 times the age of Julia. After 11 years, her father will be thrice as old as her. Find the present age of Julia.

  1. 10 years

  2. 16 years

  3. 24 years

  4. 26 years
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A Correct answer
Explanation

Let Julia's age be x. Her father's age is 5x + 2. After 11 years, Julia is x + 11 and her father is 5x + 13. Given 5x + 13 = 3(x + 11), we solve 5x + 13 = 3x + 33, which gives 2x = 20, so x = 10.

AI explanation

Let Julia's present age be J, making her father's age 5J + 2. After 11 years, the age equation becomes 5J + 2 + 11 = 3(J + 11). Solving 5J + 13 = 3J + 33 gives 2J = 20, which results in Julia being 10 years old.

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