Question

Find the integer a such that , a\equiv 99 (\bmod 41)\ and\ 100\leq a\leq 140

Analyzing functions
ANSWERED
asked 2021-09-15
Find the integer a such that
\(\displaystyle{a}\equiv{99}{\left({b}\text{mod}{41}\right)}\ {\quad\text{and}\quad}\ {100}\leq{a}\leq{140}\)

Expert Answers (1)

2021-09-16
\(\displaystyle{a}\equiv{99}{\left({b}\text{mod}{41}\right)}\) We can find a such that \(\displaystyle{100}\leq{a}\leq{140}\) by consecutively adding 41 to 99 until we ibtain a vlue between 100 and 140 \(\displaystyle{a}\equiv{99}{\left({b}\text{mod}{41}\right)}\)
\(\displaystyle\equiv{99}+{41}{\left({b}\text{mod}{41}\right)}\)
\(\displaystyle\equiv{140}{\left({b}\text{mod}{41}\right)}\) Since between 100 and 140 (including): a=140
38
 
Best answer

expert advice

Have a similar question?
We can deal with it in 3 hours
...