Find the least number when divide by 25, 45, 60 leaves reminder 20.

Question

2) Find the least number which when divided by 18, 12, 24 leaves a reminder of 16, 10, 22 respectively.
Can U help me to find the answer.

Answer 1

LCM(25,45,60) = 900
So, 920 will do the trick.

70 = 16 + 3*18 = 10 + 5*12 = 22 + 2*24