Math New Drill (level 1) : SNJ00-0704-L1 remainders are three and five when divided by five and seven

Find an integer that is the nearest to 100 among the integers that remainder is three when it is divided by five and remainder is five when it is divided by seven.











Answer
103

Solution
It is an integer that becomes the common multiple of 7 and 5 when two is added.

The integer to find is 35 × 3 -2 = 103.