Question

the sum of three consecutive integars equals To the product of thtree consecutive integars. find the integars.

Answer 1

answer will be 1,2,3

Answer 2

Answer:

LET CONSECUTIVE NUMBERS ARE X , X+1 , X+2

GIVEN==>

SUM OF NUMBERS = PRODUCT OF NUMBERS

==> X+X+1+X+2 = X(X+1)(X+2)

==> 3X+3 =  (X²+X)(X+2)

==> 3X+3 = X³+2X²+X²+2X

==> 3X+3 = X³+3X²+2X

==> 0 = X³+3X²+2X-3X-3

==> X³+3X²-X-3 = 0

LET VALUE OF X = 1

SO,  PUTTING VALUE OF X IN EQ(1)

==> (1)³+3(1)²-(1)-3

==> 1+3-1-3

==>0

SO, X = 1

AND NUMBERS ARE :-

1 , 2 , 3

VERIFY

1+2+3 = 1×2×3

=> 6=6