When m is divided by 9, the remainder is 2.
When m is divided by 9, the remainder is 2. When m is divided by 13, the remainder is 4. If 1 < m < 200, what is the greatest possible value of m?
Answer/Solution
173
Steps/Work
Looking at the choices, options BD can be eliminated as they are divisible by 13
Starting from the highest number 164;
173 = 171 + 2 (171 divisible by 9)
173 = 169 + 4 (169 divisible by 13)
it fits the result
Answer = E
Starting from the highest number 164;
173 = 171 + 2 (171 divisible by 9)
173 = 169 + 4 (169 divisible by 13)
it fits the result
Answer = E