Question

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?

Answer 1

so hope i understand it right - correct
six children - with their guesses were 155, 157, 167, 168, 179, 183

let be the correct answer ,,x"
the closest guess was only 3 more or less than the correct number so for 1 guess we can write ,,x +/-3" and
that two of the other guesses were no more than 10 away so for these 2 guesses we can write ,,x +/- 10"

so using these my above wrote do you have any idea now how we can get the right correct answer ?

Answer 2

@justus any idea on this pls ?

Answer 3

Can you post the choices @pog?

Answer 4

155, 157, 167, 168, 179 and 183.

Method used: Guess and Check and logic

Lets can try 160, which is 3 away from 157 and within 10 of 155 and 167 but is also within 10 of 168 so this answer choice won't work. A number between 157 and 167 won't work for the reason that it would either be within 3 of 2 numbers or no numbers at all. For example if we choose 166. It is within 10 of 157 but it is within 3 to 2 other numbers. Same situations happens when you pick a number between 179 and 183. YOu can't pick a number greater than 179 because 179-168 = 11 and 2 guesses are within 10. So out of all the numbers we see, it says that 1 guess was 3 or less, 2 are no more than 10 away. So pick 171, because that is 3 away from 168, and within 10 of 167 and 179. It is a logical place to pick from also because 155 and 157 are right next to each other and same with 167 and 168. Lmk and I can explain again if it didn't make sense