Question

Y and z are whole numbers y<70 z 60 work out the largest possible value of y and z

Answer 1

Answer:

a) 12

b) 129

Step-by-step explanation:

a)

$w, x \in \mathbb{Z}_{\ge 0}$

$w>50\\x$

For the smallest value of $w-x$, we gotta figure out the smallest value for w and the highest value for x.

$w>50 \Rightarrow \text{ smallest value is } 51$

For $x$, once $-(-x)=x$, we conclude that $x$ cannot be negative and therefore, $x=39$.

$51-39=12$

b)

$y, z \in \mathbb{Z}_{\ge 0}$

$y$

For the largest value of $y+z$, we gotta figure out the highest value for y and z.

$y$

$z\leq 60 \Rightarrow \text{ highest value is } 60$

$y+z=69+60=129$