Question

the difference of the two squares of the consecutive even number is 100 , what will be the value of the smaller number​

Answer 1

Answer:

Let the two numbers be x and (x+2) .

Their squares are x^2 and (x+2)^2.

Then, (x+2)^2 -x^2 = 100

=>x^2 +4 + 4x - x^2 = 100

=>4x +4 =100

=>4x = 100-4

=>4x = 96

=>x = 24.

Therefore the smaller number is x = 24.

Step-by-step explanation:

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