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The sum of the squares of two consecutive positive even numbers is 340. Find the numbers.

The sum of the squares of two consecutive positive even numbers is 340. Find the numbers.
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The sum of the squares of two consecutive positive even numbers is 340. Find the numbers.

asked
User Agyei
by
7.9k points

2 Answers

1 vote
the numbers are 12 and 14




good luck
answered
User Urkle
by
7.8k points
3 votes
340 / 2 = 170

sqrt(170) = 13
use the even number below 13 and the even number above 13

12 & 14

12^2 = 144
14^2 = 196

144 + 196 = 340

answered
User Mike Cluck
by
8.6k points
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