The average age of a group of 15 men is 52 years. The average age of the group is decreased by 3 years when an older member is replaced by a new younger member. Find the difference (in years) between the age of the elder member and the younger member.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 45
Let E and Y be the age of the elder member and the younger member, respectively.

Sum of their age before replacement = 15 × 52 years

Sum of their age after replacement = 15 × 49 years = (15 × 52 – E + Y) years

⇒ E – Y = 15 × (52 – 49) = 15 × 3 = 45 years

Hence, option C is the correct answer.

Suggest Corrections

Similar questions

Q. The average age of group of eight members is the same as it was 3 years ago when a young member is substituted for an old member. The incoming member is younger to the outgoing member by

Q. The average age of

12

members of a committee is

56

years. Two members whose age were

60

years and

52

years respectively have died. The average age of other members is

Q. After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member?

After the oldest member of a club was replaced by a new member, it was found that the average age of seven members of the club is the same as it was 3 years ago. What is the difference between the ages of the oldest and the new member?

The average age of a family of 6 members is 24 years. If the age of the youngest member be 6 years, then what was the average age of the family member at the birth of the youngest member (in years)?

Join BYJU'S Learning Program