Multiple choice

The average age of two brothers is 9 years It is increased by 9 years when their mother's age is also included then the age of mother is

  1. $35\ years$
  2. $36\ years$
  3. $37\ years$
  4. $38\ years$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Sum of ages of two brothers = 9 * 2 = 18. When mother is included, total people = 3, and average age increases by 9, so new average = 9 + 9 = 18. Total age of 3 people = 18 * 3 = 54. Mother's age = 54 - 18 = 36.

AI explanation

The sum of the ages of the two brothers is 2 times 9, which equals 18 years. When the mother is included, the average age of the three people becomes 18 years, making their total combined age 3 times 18, or 54 years. The mother's age is the difference between the new total and the brothers' total, which is 54 minus 18. The mother is 36 years old.