The average age of 8 men, 7 women and 1 boy is 45 years, that of 8 men being 48 years and of 7 women
being 46 years, determine the age of the boy.



Answer :

The age of the boy is 14 years.

Given average age of 8 men, 7 women and 1 boy is 45 years.

Averages are used to condense a vast number of data points into a single value. It is a visual depiction of all the data set's available numbers. By adding up all the data values and dividing them by the total number of data points, the average is calculated.

age of 8 men is 48 years.

age of 7 women is 46 years.

age of the boy is = ?

= (45 ×16 ₋ 48 × 8 ₋ 7 × 46)

= (720 ₋ 324 ₋ 322)

= 14 years.

Hence the age of the boy is 14 years.

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