Question

the square of the greater of two consecutive even numbersexceeds the square of the smaller by 36.Find the number

Answer 1

Let the numbers be x and x+2

(x+2)^2 - x^2 = 36

x^2 + 4 + 4x - x^2 = 36

4x = 36-4

4x = 32

x = 8

The numbers are 8 and 10

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