Average age of 3 children of a family is 11 years old. Average age of

1.	Average age of 3 children of a family is 11 years old. Average age of children together with their parents is 23 years. If the father is older than the mother by 2 years, the age of mother (in years) is :1. 35 years2. 28 years3. 36 years4. 40 years
Answer» Correct Answer - Option 4 : 40 years Given: Average age of 3 children of a family = 11 years old. Average age of children together with their parents = 23 years. If the father is older than the mother by 2 years. Formula used: Average = (Sum of total observations)/(Total number of observation) Calculation: Let the age of the mother is 'x' years old. Then the age of father = (x + 2) years old Average = (Sum of total observations)/(Total number of observation) ⇒ (Sum of total observations) = Average × (Total number of observation) ⇒ Sum of age of three children = 11 × 3 = 33 years Sum of age of whole family = 5 × 23 = 115 years So, sum of the age of father and mother = 115 – 33 = 82 years According to the question, x + 2 + x = 82 ⇒ 2x = 80 ⇒ x = 40 ∴ The age of mother is 40 years old.

Average age of 3 children of a family is 11 years old. Average age of children together with their parents is 23 years. If the father is older than the mother by 2 years, the age of mother (in years) is :1. 35 years2. 28 years3. 36 years4. 40 years

Answer» Correct Answer - Option 4 : 40 years

Given:

Average age of 3 children of a family = 11 years old.

Average age of children together with their parents = 23 years.

If the father is older than the mother by 2 years.

Formula used:

Average = (Sum of total observations)/(Total number of observation)

Calculation:

Let the age of the mother is 'x' years old.

Then the age of father = (x + 2) years old

Average = (Sum of total observations)/(Total number of observation)

⇒ (Sum of total observations) = Average × (Total number of observation)

⇒ Sum of age of three children = 11 × 3 = 33 years

Sum of age of whole family = 5 × 23 = 115 years

So, sum of the age of father and mother = 115 – 33 = 82 years

According to the question,

x + 2 + x = 82

⇒ 2x = 80

⇒ x = 40

∴ The age of mother is 40 years old.