Question

Maria is 12 inches shorter than her sister Nancy. Brad is 11 inches shorter than his brother Chad. If Maria is shorter than Brad, how do the heights of Nancy and Chad compare?

A)Nancy is always shorter than Chad.

B)Chad is always shorter than Nancy.

C)Nancy is either shorter than Chad, or approximately the same height.

D)Chad is either shorter than Nancy, or approximately the same height.

Answer 1

Explanation:

Let M represents Maria's height, N represents Nancy's height, B represents Brad's height and C represents Chad's height.

Given,

M < N

Such that M = N - 11,

B < C,

Such that, B = C - 11,

M < B,

⇒ M < B < C,

Thus, there is the less information to compare the height of Nancy and Chad.

If M = B,

Then M = C - 11 ⇒ C = M + 11

But N = M + 11

⇒ C = N

So, if Maria and Brad are the same height then the height of Nancy and Chad will same.