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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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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? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about 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? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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