Question

59. A man had five children. When their average age was 6 years
a child was born. What is the new average (in years)?​

Answer 1

SOLUTION

GIVEN

• A man had five children.

• When their average age was 6 years a child was born.

TO DETERMINE

The new average (in years)

EVALUATION

Here it is given that a man had five children

Their average age was 6 years

So sum of ages

= 5 × 6 years

= 30 years

Now a child was born

So number of children = 5 + 1 = 6

Sum of ages of 6 children

= 30 + 0 years

= 30 years

Hence the required new average

$\displaystyle \sf{ = \frac{Sum \: of \: the \: ages }{Total \: number \: of \: children } }$

$\displaystyle \sf{ = \frac{30}{6} \: \: years}$

$\displaystyle \sf{ = 5\: \: years}$

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