Question

The product of two consecutive number is 506. What are the numbers. ​

Answer 1

Answer:

22&23

Step-by-step explanation:

Hi ,

Let x , ( x + 1 ) are two consecutive

numbers .

According to the problem given ,

Product of given numbers = 506

x( x + 1 ) = 506

x² + x - 506 = 0

Splitting the middle term , we get

x² + 23x - 22x - 506 = 0

x( x + 23 ) - 22( x + 23 ) = 0

( x + 23 ) ( x - 22 ) = 0

x + 23 = 0 or x - 22 = 0

x = -23 or x = 22

Therefore ,

Required two numbers are ,

x = 22 ,

x + 1 = 22 + 1 = 23

I hope this helps you.

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