Question

The product of two successive even numbers is 24648 and find largest number

Answer 1

Hope it helps u
Mark my answer as brainliest

Answer 2

Answer:

The largest number is 158.

Step-by-step explanation:

Given : The product of two successive even numbers is 24648.

To find  : The largest number ?

Solution :

Let the two successive even numbers are x and x+2.

According to question,

$x(x+2)=24648$

$x^2+2x-24648=0$

Applying middle term split,

$x^2-156x+158x-24648=0$

$x(x-156)+158(x-156)=0$

$(x-156)(x+158)=0$

$x=156,-158$

Reject x=-158.

The numbers are

x=156

x+2=156+2=158

Therefore, The largest number is 158.