Answer:
<em>There are 21 jelly beans in the jar.</em>
Step-by-step explanation:
Suppose, the number of jelly beans in the jar is ![x](https://tex.z-dn.net/?f=x)
Two were off by 2, two were off by 3, two were off by 4. That means, the six guessed number will be: ![(x+2), (x-2), (x+3), (x-3), (x+4), (x-4)](https://tex.z-dn.net/?f=%28x%2B2%29%2C%20%28x-2%29%2C%20%28x%2B3%29%2C%20%28x-3%29%2C%20%28x%2B4%29%2C%20%28x-4%29)
Given that, Alice guessed 25; Betty, 18; Clare, 23; Dotty, 19; Edith, 24; and Fran, 17.
So, the sum of all six guessed number will be: ![25+18+23+19+24+17=126](https://tex.z-dn.net/?f=25%2B18%2B23%2B19%2B24%2B17%3D126)
Thus, the equation will be..........
![(x+2)+(x-2)+(x+3)+(x-3)+(x+4)+(x-4)= 126\\ \\ 6x= 126\\ \\ x=\frac{126}{6}=21](https://tex.z-dn.net/?f=%28x%2B2%29%2B%28x-2%29%2B%28x%2B3%29%2B%28x-3%29%2B%28x%2B4%29%2B%28x-4%29%3D%20126%5C%5C%20%5C%5C%206x%3D%20126%5C%5C%20%5C%5C%20x%3D%5Cfrac%7B126%7D%7B6%7D%3D21)
So, the number of jelly beans in the jar is 21.