Question

How do we prove :- The product of five consecutive natural numbers is divisible by 20..??

Answer 1

Answer:

Let five consecutive natural numbers be x, x+1,x+2,x+3,x+4

ATQ

x+x+1+x+2+x+3+x+4=20

5x+10=20

5x=20-10

X=10/5=2

Therefore, the numbers =2,2+1,2+2,2+3,2+4

LHS RHS

2+3+4+5+6=20 20

Therefore, LHS = RHS. Verified