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Chapter 10: Q 144 (page 1206)

The product of two consecutive Even number is 360.Find the numbers.Find the numbers.

Short Answer

Expert verified

Therefore,the two numbers are 18 and 20.

Step by step solution

01

Given information 

The Given statement is the product of two consecutive Even number is 360 .

02

The consecutive even numbers 

Two numbers are nandn+2.

nn+2=360n2+2n=360n2+2n-360=0

03

Using Quadratic formula

n2+2n-360=0Whereasa=1,b=2andc=-360n=-2卤22-41-3602n=-2卤4+14402n=-2卤382n=362n=18n+2=20

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