so find conting number that add up to 156
use 2 number 3,4,5,6
I will do all of them
so consecutive number
to find them this is the equation
x is a number
x+1= next consecutive number so
the group of 2 numbers is
x+x+1=154
2x+1=154
subtract 1
2x=153
divie by 2
we want counting numbers and 153 is odd so odd divided by 2 is not a conting number so there are no 2 consecutive countin g numbers that satisfy these conditions
so there is no such number
the smallest number is x
group of 3 numbers is
x+x+1+x+2=154
3x+3=154
subtract 3
3x=151
divide by 3
the result is a non-counting number so there are no 3 consecutive counting numbers that satisfy these conditons
the smallest number is x
group of 4 numbers is
x+x+1+x+2+x+3=154
4x+6=154
subtract 6 from both sdies
4x=152
divide both sides by 4
x=38
the first number is 38
the set is
38,39,40,41
the smallest number is 38
group of 5 numbers is x+x+1+x+2+x+3+x+4=154
5x+10=154
subtract 10
5x=144
divide by 5
this will result in a non counting number so there is not 5 consecutive conungint numbers that satisfy these conditions
so the smallest number is x
group of 6 numbers is
x+x+1+x+2+x+3+x+4+x+5=154
6x+15=154
subtract 15
6x=139
divide by 6
this will result in a non counting nubmers that do knowt satisfy the condtions so the smalles tnumber is x
2 numbers:x
3 numbers:x
4 numbers:38,39,40,41
5 numbers:x
6 numbers:x
