Question

The Sum of two consecutive even number is 340. find the number​

Answer 1

Given:

Sum of squares of two consecutive even numbers is 340.

Find:

The two numbers

Solution:

Let the consecutive even numbers be x and x + 2

Square of these number is 340.

=> (x)² + (x + 2)² = 340

=> x² + x² + 2² + 2•x•2 = 340

=> 2x² + 4x = 340 – 4

=> 2x (x + 2) = 336

=> x (x + 2) = 336/2

=> x² + 2x = 168

=> x² + 2x – 168 = 0

Now, By using middle term splitting method.

=> x² + 2x – 168

=> x² + 14x – 12x – 168

=> x (x + 14) – 12 (x + 14)

=> (x + 14) (x – 12) = 0

=> (x + 14) = 0 or, (x – 12) = 0

=> x = –14 or x = 12

The negative value of x and take x = 12

x = 12

And

=> (x + 2)

=> 12+2

=> 14

Hence, the two numbers is 12 and 14.

I hope it will help you.

Regards.

Answer 2

Answer:

let the two consecutive even no. be x and x+1.

x+(x+1) =340

2x+1=340

2x=340-1

2x=339

x=339/2

x=169.5

therefore

x=169.5

2nd number=170.5

Step-by-step explanation:

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