Question

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

Answer 1

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

Note : all heights are in inches.

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

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