Question

A no. Is 42 more than the average of its half, one- third and one- fifteenth. Find the no.

Answer 1

Let the number be x.

Half of a number will be x/2, and one-third of a number will be x/3, and one-fifteenth of a number will be x/15.

Average of half number + one-third + one-fifteenth = (x/2 + x/3 + x/15)/3

                                                                                      = (27/30)/3

                                                                                      = 3x/10.


Given that A number is 42 more than the average of x/2,x/3,x/15.

x - 42 = 3x/10

10x - 420 = 3x

-420 = 3x - 10x

-420 = -7x

x = 60.


Therefore the number = 60.


Hope this helps!