Sistema #1

Algebra Level 1

If (x + y = 10), (x + w = 20), (y + w = 24) and (x + y + w = z), what's the value of z?

108 27 54 13

1 solution

Viki Zeta
Jul 9, 2016

$x+y=10\\ \text{(+)}x+w=20\\ \text{(+)}y+w=24\\ \implies x+y+x+w+y+w = 10+20+24\\ \implies 2(x+y+z)=54\\ \implies x+y+z=\fbox{27}$