Question

the product of 4 consecutive natural numbers is 5040 find the numbers

Answer 1

Hi ,

Let x , ( x + 1 ) , ( x + 2 ) , ( x + 3 ) are

4 consecutive natural numbers .

Their product = 5040

x( x + 1 ) ( x + 2 )( x + 3 ) = 5040

x( x + 1 )( x + 2 )( x + 3 ) = 70 × 72

x( x + 1 )( x + 2 )( x + 3 ) = 7×8×9×10

x( x+1)(x+2)(x+3) = 7(7+1)(7+2)(7+3)

Therefore ,

Required ,

Four natural numbers are ,

7 , 8 , 9 , 10

I hope this helps you.

: )

Answer 2

Heya !!!



Let the four consecutive natural Numbers are X , X+1 , X +2 , X+3.



According to question,



Product of Numbers = 5040


X (X+1) (X+2) (X+3) = 5040


X (X+1) (X+2) (X+3) = 7 × 8 × 9 × 10



Here,

X = 7


(X+1) = (7+1) = 8

(X+2) = (7+2) = 9

(X+3) = (7+3) = 10



Hence,


Four consecutive Numbers are 7,8,9 and 10.


HOPE IT WILL HELP YOU....... :-)