Four colleagues had a combined age of 92 years exactly three years ago. Since then, a baby has been added to their group. Interestingly, the average age of the group today remains the same as it was back then.

Consider the following statements:
Statement I: The current total age of the four colleagues is 104 years.
Statement II: The current age of the baby is 11 years.

Select the correct answer from the options below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

Question

Four colleagues had a combined age of 92 years exactly three years ago. Since then, a baby has been added to their group. Interestingly, the average age of the group today remains the same as it was back then.

Consider the following statements:
Statement I: The current total age of the four colleagues is 104 years.
Statement II: The current age of the baby is 11 years.

Select the correct answer from the options below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

ONLiNE UPSC · Accepted Answer

Three years ago, total age of 4 colleagues = 92 years.
Each has aged 3 years, so total increase = 4 &times; 3 = 12 years.
Current total age of 4 colleagues = 92 + 12 = 104
Statement I is correct.
Let average age (unchanged) = 92 &divide; 4 = 23 years.
Now, total age of 5 people must be 5 &times; 23 = 115 years.
Baby&rsquo;s age = 115 &ndash; 104 = 11 years.
Statement II is correct.
Hence, option c is correct.

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Four colleagues had a combined age of 92 years exactly three years ago. Since then, a baby has been added to their group. Interestingly, the average age of the group today remains the same as it was back then. Consider the following statements: Statement I: The current total age of the four colleagues is 104 years. Statement II: The current age of the baby is 11 years. Select the correct answer from the options below: (a) Only Statement I is correct. (b) Only Statement II is correct. (c) Both Statements I and II are correct. (d) None of the Statements is correct.