Math New Drill (Level 1) : Number sense and theory SNJ00-0703-L1 Multiple of 12 and 17

When 12 is added to a certain numbers, it'll be a multiple of 17, and when 17 is added, it is a multiple of 12. 

Among such numbers find the second smallest number.




Answer
379

Solution
When 29 (= 12 + 17) is added to this number, it'll become the common multiple of 12 and 17.

Because the least common multiple of 12 and 17 is 204, the smallest number which matches the condition is 204 - 29 = 175. 

The second smallest number is 175 + 204 = 379.