Some children were formed into group of 6 or 7 .In each case 2 children were left out
when they were formed into group of 8 ,no children were left out .what is total number number of children

• Let the number of children be x.
  x=6k+2, for some number k.
  x=7l+2, for some number l.
  x= 8m+0, for some number m.
  Equating all you can solve, x for 32.
• 5 years agoHelpfull: Yes(0) No(3)
• 128
  
  Number which left out 2 when divided by 6 or 7 = LCM (6, 7) + 2 = 42n+2
  Given the same number is divisible by 8, so checking for values n=1, 2, 3, ...
  For n=3, number (42n+2)=128, which is perfectly divisible by 8.
  Hence total number of children=128
• 5 years agoHelpfull: Yes(0) No(0)