1.

The average age of 6 members of a family is 25 years. If the youngest member of the family is 15 years old, then what was the average age (in years) of the family at the time of the birth of the youngest member?1). 92). 123). 184). 24

Answer»

Average age of 6 members of family = 25

⇒ Sum of AGES of all presently = 25 × 6 = 150

Youngest member of the family = 15 years

At the time of the birth of the youngest member, EVERYONE WOULD be 15 years YOUNGER and there will be five members only.

⇒ Required average = $(\frac{{Sum\;of\;ages\;of\;5\;members}}{5})$

Now, sum of 5 members = Sum of 6 members - (6 × 15) = Sum of 6 members - 90

⇒ Sum of 5 members = 150 - 90 = 60

∴ Required Average = 60/5 = 12


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