The number of students in RSM online classes is more than 90 and fewer that 140 and 1 less than a multiple of 3, 3 less than a multiple of 5, and 5 less than a multiple of 7. How many students are in RSM online classes?

Guest Jan 29, 2023

#2**0 **

N mod 3 =2,

N mod 5 =2,

N mod 7 =2, solve for N

N = 105C + 2, where C= 0, 1, 2, 3,.......etc.

When C = 1, then:

N=[105 * 1 + 2] =** 107 - number of students in RSM online classes.**

Check: 107 is 1 less than a multiple of 3, or: 107 + 1 =108 - which is a multiple of 3

107 is 3 less than a multiple of 5, or: 107 + 3 =110 - which is a multiple of 5

107 is 5 less than a mulriple of 7, or: 107 + 5 =112 - which is a multiple of 7

Guest Jan 29, 2023