During a guided tour of Sindrow Castle, a group of tourists climbed to the top of Fineview Tower.
At the top, the guide asked the six children in the group to guess how many steps they had
climbed. Their guesses were 155, 157, 167, 168, 179 and 183.
The guide revealed that the closest guess was only 3 more or less than the correct number and
that two of the other guesses were no more than 10 away.
How many steps had they climbed?
A 160
B 164
C 171
D 176

Question

darkknight · Answer

Some of the info that we can derive is that the 2 of the other guessers were no more than 10 more or less than the correct number. So the extremes are 145 and 193 (max possible)

rileyking · Answer

okay im still kinda confused lol im sorry

darkknight · Answer

So i guess the best thing to do is to put each answer choice and see if they match the scenario.

darkknight · Answer

For the first one.  160 is 3 more than 157, so that fits.  Also we see that 2 guesses are no more than 10 away.

darkknight · Answer

Thus we have to work no further. We are done. The correct answer will be the first one.

rileyking · Answer

okay thank youu!

darkknight · Answer

np