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Let the number be 'm' & 'm + 2'
Hence their squares are m^2 & (m+2)^2
There sum is
m^2 + (m+2)^2 = 340
Multiply out he brackets
m^2 + m^2 + 4m + 4 = 340 .
2m^2 + 4m + 4 = 340
Divide both sides by '2'
m^2 + 2m + 2 = 170
m^2 + 2m - 168 = 0
Factor
(m - 12)(m + 14) = 0
Hence m = 12 & m+ 2 = 14 The two consecutive even numbers.
12^2 = 144
14^2 = 196
144 + 196 = 340 As required.
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What 2 consecutive numbers whose squares differ by 17?
8
What are two consecutive numbers whose squares differ by 31?
15 and 16
What are 2 consecutive numbers whose squares differ by 17?
The difference between the squares of two consecutive integers j and j+1 is |2j+1|. There are therefore two such pairs where this quantity is 17:-9 and -88 and 9
What are the two consecutive whole numbers whose squares differ by 49?
24 and 25, which are (49-1)/2 and (49+1)/2
What are two consecutive numbers whose sum is 126?
There are two consecutive even numbers. The numbers are 62 and 64.
What are the 2 consecutive positive even numbers the sum of whose squares is 340?
The numbers are 12 and 14.
What are two consecutive positive even numbers the sum of whose squares is 340?
The numbers are 12 and 14.
What 2 consecutive numbers whose squares differ by 17?
8
What are the two consecutive numbers whose squares add to 365?
The numbers are 13 and 14.
What are two consecutive numbers whose squares differ by 31?
15 and 16
What are two consecutive numbers whose squares diffee by 35?
17 and 18
What are two consecutive numbers whose squares differ by 125?
62 and 63
Find two positive consecutive integers whose product is 72?
The numbers are 8 and 9.
What are the 3 positive consecutive square numbers whose sum is 149?
6,7,8 those numbers squared are 36,49,64 which add to 149
What are 2 consecutive numbers whose squares differ by 17?
The difference between the squares of two consecutive integers j and j+1 is |2j+1|. There are therefore two such pairs where this quantity is 17:-9 and -88 and 9
What is the consecutive numbers in mathematical algebra?
Consecutive numbers are whole numbers whose difference is 1.
What are the two consecutive whole numbers whose squares differ by 49?
24 and 25, which are (49-1)/2 and (49+1)/2
