Find three consecutive odd integers for which the sum is 51
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Let the first odd no. be 2n+1
second = 2n+3
third = 2n+5
As sum : (2n+1) + (2n+3) + (2n+5) = 51
or, 6n + 9 = 51
or, 6n = 51 - 9 = 42
so, n = 42/6 = 7
So nos. are 2(7)+1 , 2(7)+3 , 2(7)+5
or, 15, 17, 19 is the required three consecutive odd integers for which the sum is 51.
second = 2n+3
third = 2n+5
As sum : (2n+1) + (2n+3) + (2n+5) = 51
or, 6n + 9 = 51
or, 6n = 51 - 9 = 42
so, n = 42/6 = 7
So nos. are 2(7)+1 , 2(7)+3 , 2(7)+5
or, 15, 17, 19 is the required three consecutive odd integers for which the sum is 51.
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