Question

find the smallest number that divide by 44,55 and 220 leaving remainders 5

Answer 1

First of all ,  We will find the L.C.M of 44, 55 and 220.  It would come to 220. Now according to the question ,  when 90 would be divided by 44, 55 & 220, it should leave a remainder 5.  Therefore we add 5 to 220 = 225  Cross check:-  a) 225/44 has a Remainder = 5  b) 225/55 has a Remainder = 5  c) 225/220 has a Remainder =5  Thus the answer is 225.