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Home » The sum of the squares of two consecutive even integers is 340. What are the integers? - Leaselab

The sum of the squares of two consecutive even integers is 340. What are the integers? - Leaselab

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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is divisible by 11 and by 9 (1+9+8=18). So 198 Ã· 9 = 22, integer.
So $ B = 198 $ is a candidate.
But is there a smaller multiple of 11 in the list? 198 is 11Ã18=198.
Check 11Ã9=99 < 100
11Ã10=110 â check if 110 divisible by 9? 1+1+0=2 â no
11Ã11=121 â 1+2+1=4 â no
11Ã12=132 â 1+3+2=6 â no
11Ã13=143 â 1+4+3=8 â no
11Ã14=154 â 1+5+4=10 â no
11Ã15=165 â 1+6+5=12 â not div by 9

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