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The average age of four members of a family is 32 years. If the age of a guest is included, then the average age has increased by 12.5%. What is the age of the guest?
- a)50 years
- b)52 years
- c)54 years
- d)48 years
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The average age of four members of a family is 32 years. If the age of...
The average age of four members of a family is 32 years,
⇒ Sum of age of 4 members of a family = 32 × 4 = 128 years
⇒ Sum of age of 4 members of a family = 32 × 4 = 128 years
If the age of a guest is included, then the average age has increased by 12.5%,
⇒ Average age of 5 persons = 32 × 112.5/100 = 36 years
⇒ Sum of age of 5 persons = 36 × 5 = 180 years
∴ Age of guest = 180 – 128 = 52 years
⇒ Average age of 5 persons = 32 × 112.5/100 = 36 years
⇒ Sum of age of 5 persons = 36 × 5 = 180 years
∴ Age of guest = 180 – 128 = 52 years
Most Upvoted Answer
The average age of four members of a family is 32 years. If the age of...
Given:
- Average age of four members of a family = 32 years
- After including age of a guest, average age increases by 12.5%
To find: Age of the guest
Approach:
Let's assume the age of the guest as x. Then we can proceed with the following steps:
Step 1: Calculate the sum of ages of four members of the family
Total age of four members = 32 x 4 = 128
Step 2: Calculate the new average age after including the guest
New average age = 32 + 12.5% of 32
New average age = 32 + 4
New average age = 36
Step 3: Calculate the sum of ages after including the guest
Total age of five members = 36 x 5 = 180
Step 4: Subtract the sum of ages of four members from the sum of ages of five members to get the age of the guest
Age of the guest = Total age of five members - Total age of four members
Age of the guest = 180 - 128
Age of the guest = 52
Therefore, the age of the guest is 52 years, which is option (b).
- Average age of four members of a family = 32 years
- After including age of a guest, average age increases by 12.5%
To find: Age of the guest
Approach:
Let's assume the age of the guest as x. Then we can proceed with the following steps:
Step 1: Calculate the sum of ages of four members of the family
Total age of four members = 32 x 4 = 128
Step 2: Calculate the new average age after including the guest
New average age = 32 + 12.5% of 32
New average age = 32 + 4
New average age = 36
Step 3: Calculate the sum of ages after including the guest
Total age of five members = 36 x 5 = 180
Step 4: Subtract the sum of ages of four members from the sum of ages of five members to get the age of the guest
Age of the guest = Total age of five members - Total age of four members
Age of the guest = 180 - 128
Age of the guest = 52
Therefore, the age of the guest is 52 years, which is option (b).
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The average age of four members of a family is 32 years. If the age of a guest is included, then the average age has increased by 12.5%. What is the age of the guest?a)50 yearsb)52 yearsc)54 yearsd)48 yearsCorrect answer is option 'B'. Can you explain this answer?
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