How many sheep in the flock?

Algebra Level 1

Four friends were trying to guess the number of sheep in a flock.

  • Alex guessed 21.
  • Bob guessed 26.
  • Chris guessed 20.
  • Tim guessed 21.

Two were wrong by 2 and the other two were wrong by 3.

How many sheep were in the flock?

20 22 23 25 26

Hana Wehbi by Hana Wehbi , 51, USA

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2 solutions

X X
May 12, 2018

Since the largest gap is 26-20=6,so they are both wrong by 6/2=3.Hence there are 20+3=26-3=23 sheep.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

First off: is this really a medium problem and not an easy? Second: since there are 2 of by 2 and 2 of them guessed 21 it's either 19 or 23. The first one doesn't satisfy the 2 off by 3 and 23 does. So the answer is 23.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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