Question

The sum of two consecutive natural numbers is 35. Set up an equation for the above case.

Answer 1

Step-by-step explanation:

let the two consecutive natural numbers be x and x+2.

Then,

x(x+2) = 35

x square + 2x = 35

x square + 2x - 35 = 0

x square +7x - 5x - 35 =0

x (x + 7) - 5 (x + 7) = 0

(x - 5) (x + 7) =0

here,

x - 5= 0

and x + 7= 0

ANSWER:- x= 5 and x= - 7