Question

If the product if two consecutive positive integers is 24 find the number

Answer 1

Let the number be x
other number be x+1
according to question, x(x+1)=24
=x^2+x=24
or, x^2+x-24=0

Answer 2

HEY Buddy......!! here is ur answer

Given that : The product of two consecutive positive integers is 24

Let, the two consecutive positive integers = x and x+2

Then, according to the question :

x(x+2) = 24

=> x²+2x–24 = 0

=> x²+6x–4x–24 = 0

=> x(x+6)–4(x+6) = 0

=> (x+6)(x–4) = 0

Required value of x = –6 and 4

–6 doesn't exist as the value of x, So the value of x will be 4

Then two consecutive positive integers will be

x = 4 and

x+2 = 4+2 = 6

I hope it will be helpful for you....!!

THANK YOU ✌️✌️

MARK IT AS BRAINLIEST