Question
There are 7 people in a group. Average age of the group
decreases by 5 when two more people join the group. Find the average age of the new group. Statement I: Sum of the ages of the two people who joined later is 25 yrs. Statement II: Total of the ages of people originally was 245 yrs. Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer –Solution
From statement I: People becomes 9 from 7, and average decreases by 5. Let ‘n’ is previous average and then ‘n - 5’ is new average. So Sum of ages of 2 new people becomes 9 × (n – 5) – 7 × n which is given 25 So 9 × (n – 5) – 7 × n = 25 So 9n – 45 – 7n = 25 or 2n = 25+45= 70 So, n = 70/2 = 35 So average of new group = 35 – 5 = 30 From statement II: Total age of 7 people is 245 years, so their average = 245/7 = 35 So, average of new group = 35 – 5 = 30 So answer can be determined by either of statement I or II.
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