Multiple choice

The average age of two brothers is $13$. It is increased by $11$ years when their mother's age is also included. The age of the mother is :

  1. $45$ years
  2. $46$ years
  3. $47$ years
  4. $48$ years
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B Correct answer
Explanation

Sum of ages of 2 brothers = 13 * 2 = 26. New average = 13 + 11 = 24. Sum of ages of 3 people = 24 * 3 = 72. Mother's age = 72 - 26 = 46.

AI explanation

The total age of the two brothers is 2 times 13, which equals 26 years. When the mother's age is added, the average age of the three people becomes 24 years, meaning their new total age is 3 times 24, or 72 years. The mother's age is the difference between the total age of all three and the total age of the brothers, which is 72 minus 26. The age of the mother is 46 years.

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