Daniel is taller than André. Daniel is shorter than Rafael. Who is the tallest?
In this problem, we’re asked to
find out the tallest out of three characters, Daniel, André, and Rafael. One way we could do this is to use
the pictures to help. In maths, we’re not always given a
picture to help us. And we are given two clues
here. So let’s concentrate on the
words. Can we find the answer just by
using the words as clues to help.
To help us put the children in
height order, we could sketch a line going from shorter to taller. We’ll put each character on the
line as we find out more about them. Let’s start by looking at our first
fact. Daniel is taller than André. We can show this on our comparison
line by writing D to the right of A. Another way of saying this is that
André is shorter than Daniel. So far, Daniel is the tallest.
Let’s have a look at our second
fact. Our second fact also compares
Daniel to somebody. But this time, it’s slightly
different. This time, it tells us that Daniel
is shorter than the other character. Daniel is shorter than Rafael. Is there another way we could say
this fact? Yes, we could start with
Rafael. We could also say Rafael is taller
than Daniel. Let’s show that Rafael is taller
than Daniel by writing the letter R on our comparison line.
So now, we seem to have all three
characters in order. Let’s reread our facts to see
whether we have the order correct. Firstly, Daniel is taller than
André. And secondly, Daniel is shorter
than Rafael. So although we could’ve used the
pictures to help us, in fact, we’ve actually used the clues. We’ve proved who is the
tallest. The answer is Rafael.