# There were five people in group A, with a mean lQ of 100, and five in group B, with a mean IQ of 74. When Jack left group A for group B, both means increased, and the total of the two new means was 180. What Is Jack's IQ?

##### 1 Answer

Jack's IQ is

#### Explanation:

Suppose that, Jack's IQ is

persons in group A, be,

Accordingly,

After, leaving the group by Jack, the new mean for the group A is

Let

average IQ of Group be is

Finally, after Jack's joining the group B, since it has now

Using

Here,

Utilising these in

Hence, Jack's IQ is

Enjoy maths.!