A number when divided by 259 leaves a remainder 139. What will be the remainder when the same number is divided by 37?

Answer 1

let x be the number

x = 259k + 139 for some integer k

x = 7(37)k + 139

x = 7(37)k + 3(37) + 28

x = 37(7k + 3) + 28

x divided by 37 will have a remainder of 28