Multiple choice

Average age of $6$ sons of a family is $8$ years. Average age of sons together with their parents is $22$ yeas. If the father is older than the mother by $8$ years, The age of the mother (in years) is

  1. 44

  2. 52

  3. 60

  4. 68
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The six sons have a total age of 6 x 8 = 48 years. The total age of the eight family members is 8 x 22 = 176 years, so the parents together are 128 years old. With the father 8 years older, the mother's age is 60 years.

AI explanation

Let the mother's age be m years, so the father's age is m + 8 years. The total age of the 6 sons is 6 times 8, which equals 48 years. The total age of the 8 family members is 8 times 22, which equals 176 years, so the parents' combined age is 176 minus 48, or 128 years. Setting up the equation m + m + 8 = 128, we get 2m = 120, giving the mother's age as 60 years.

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