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### This Is a Certified Answer

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**Let The Number be x and x + 2 ----[ Since The Numbers Are Even**

**Numbers]**

**According To The Question,**

x² + (x + 2)² = 164

x² + x² + 4x + 4 = 164

2x² + 4x = 164 - 4

2x² + 4x -160 = 0

**Dividing Whole Equation by 2**

x² + 2x - 80 = 0

x² + 10x - 8x - 80 = 0

x(x + 10) -8(x + 10) = 0

**(x - 8)(x + 10) = 0**

**x = 8 and not - 10 because x is a natural number**

**Therefore**,

**Answer = The Numbers Are 8and x + 2 = 8 + 2 = 10**

**Hope U Understood**

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### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

**Let the first no. be x so the second would be x+2**(as they are both even no.s)

=164

+ 4+4x=164

2+4x+4=164

+2x+2=82

+2x-80=0

D=-4ac

=-4(1)(-80)

=4+320

=324

x=-b+/-/2a

x=-b+/2a

=-2+√324/2(1)

=-2+18/2=16/2=8

x=-b-/2a

=-2-√324/2=-20/2=-10

But since it is given that hey are natural numbers -10 cannot be possible as it is a negative term

there fore x=8 and net no. is x+2=8+2=10

**Therefore the numbers are 8 and 10**

**Hope it helped you!!**