Q12 of 14 Page 269

In a set of four integers the average of the two smallest integers is 102, the average of the three smallest integers is 103, the average of all four is 104. Which is the greatest of these integers?

Let the four integers be a, b, c, d (in ascending order)


Average of two smallest integers = 102



a + b = 204 ..(i)


Average of three smallest integers = 103



a + b +c = 309 ..(ii)


From equation (i) a + b = 204


⇒ c = 105


Average of all integers = 104



a + b +c + d = 416


From equation (ii) a+ b +c = 309


⇒ d = 107


Since d is greatest integer


So, 107 is the greatest of these integers.


More from this chapter

All 14 →
10

A class consists of 50 students out of which 30 are girls. The mean marks scored by girls is 73 and that of the boys is 71. Find the mean score of the whole class.

 11

The mean of 10 observations is 15.3. If two observations 6 and 9 are replaced by 8 and 14 respectively. Find the new mean.

 13

20 years ago when my parents got married their average age was 23 years now the average age of my family consisting of myself and my parents only is 35. My present age is?

 14

Mean of 100 items is 49. it was discovered that three items which should have been 60 70 80 were wrongly read as 40 20 50 respectively. The correct mean is -