# Question e37ed

Jul 25, 2015

I found:
Andre$= R 146$
Bob$= R 106$

#### Explanation:

Call:
$x$ money of Andre;
$y$ money of Bob;
You can build a system of two equations "translating" into maths your statements:

$x - 20 = y + 20$
$x + 22 = 2 \left(y - 22\right)$

Rearranging:
{x-y=40
{x-2y=-66#
from the first one you have: $x = 40 + y$ substitute for $x$ into the second:
$40 + y - 2 y = - 66$
so: $y = 106$ substitute back to find $x$:
$x = 40 + 106 = 146$