# If the mean of numbers 28, x, 42, 78 and 104 is 62, what is the mean of 48, 62, 98, 124 and x?

May 10, 2016

78

#### Explanation:

Let's calculate the first mean:
$\frac{28 + x + 42 + 78 + 104}{5} = \frac{x + 252}{5} = 62$
From the last equality we can conclude that
$x + 252 = 62 \cdot 5$
and finally
$x = 62 \cdot 5 - 252 = 58$
Now, we can simply evaluate the second mean:
$\frac{48 + 62 + 98 + 124 + x}{5} =$
$= \frac{48 + 62 + 98 + 124 + 58}{5} = \frac{390}{5} = 78$