Question

Uncle Louise is at least 1 inch shorter than Miriam, and at least 2 inches taller than Jeffery. Jeffery's height is 64 inches. Miriam is not more than 5 inches taller than Jeffery. Which answer could be Uncle Louise's height? Please answer!!!

Answer 1

67 inches

Explanation:

Let's call the height of Louise 'L', the height of Miriam 'M' and the height of Jeffery 'J'.

Then, we can write the following equations and inequations:

`L \leq M - 1`

`L \geq J + 2`

`J = 64`

`M \leq J + 5`

Substituting J in the second and four inequations, we have:

`L \geq 66`

`M \leq 69`

If we assume the maximum value for M, in the first inequation we have that:

`L \leq 68`

So the height of Uncle Louise is greater than or equal 66, and lesser than or equal 68, so his height could be 67 inches for example.