1.

The square of the greater of two consecutive even number except the square of the smaller by 36 find the number. ​

Answer»

Answer:

8 and 10 are two consecutive numbers.

Step-by-step explanation:

  • Let the greater number be x and x + 2.
  • According to the GIVEN CONDITION ,
  • ( x )² - ( x + 2 )² = 36
  • x² - x² + 4X + 4 = 36
  • 4x + 4 = 36
  • 4x = 36 - 4
  • 4x = 32
  • x = 32 ÷ 4
  • x = 8
  • x + 2 = 8 + 2 = 10.

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