The masses of $3$ parcels, $X$, $Y$ and $Z$, measured to the nearest gram, are $140$g, \(2

Question

The masses of $3$ parcels, $X$, $Y$ and $Z$, measured to the nearest gram, are $140$g, $256$g and $322$g respectively. Find the largest possible difference between the actual masses of parcels $X$ and $Y$. Find the smallest possible difference between the actual masses of parcels $Y$ and $Z$. Editorial clarification: for continuous masses, the requested largest and smallest differences are not attained. Find the upper bound in (a) and the lower bound in (b), and state whether each bound is attained.

Accepted Answer

(a) Upper bound $117\text{ g}$, not attained. (b) Lower bound $65\text{ g}$, not attained.

Reverse Rounding Off

Reverse Rounding Off

Video Solution:

Solution:

Solution locked