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Let the numbers be m & m+1 (consecutive)
Hence their squares are
m^2 & ( m + 1)^2 => m^2 & m^2 + 2m + 2
Hence
Their sum is
m^2 + m^2 + 2m + 1 = 85
2m^2 + 2m - 84 = 0
m^2 + m - 42 =0
Factor
(m + 7)(m - 6) = 0
Hence the numbers are 6 & 7 .
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The sum of the squares of two consecutive positive even integers is 340Find the integers?
The numbers are 12 and 14.
The sum of the squares of two consecutive odd integers is 34 what are the numbers?
3 and 5
The sum of the squares of two consecutive odd numbers is 130 what are the numbers?
7 and 9 72+92 = 130
If the sum of the squares of two consecutive odd positive integers is 202 what are the integers?
112+92 is 202.
The sum of the squares of two consecutive positive even itegers is 340find the integers?
144 + 196 = 340 so integers are 12 & 14.
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