Question

1 2. If one of three consecutive odd integers is 61, which of the following is the difference between the greatest possible sum and the least possible sum of these integers? a) 12 b) 9 C) 6 d) 3

Answer 1

`\begin{gathered} the\text{possible combinations are:} \\ 61\text{ 63 65 }\Rightarrow61+63+65=189 \\ 59\text{ 61 63}\Rightarrow59+61+63=183 \\ 57\text{ 59 61}\Rightarrow57+59+61=177 \end{gathered}`
`\begin{gathered} \text{hence, the difference betw}een\text{ the greatest possible sum and the least possible sum is} \\ 189-177=12 \end{gathered}`