algebra

Level pending

the sum of three consecutive odd integers is 159. find the smallest of the numbers.

51 57 55 53

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2 solutions

Abdul Lah
Dec 24, 2014

suppose that the smaller of the odd numbers is x then the consecutive odds are x+2 and x+4 now sum= 159 x+x+2+x+4 = 159 x= 51

Jack Rawlin
Dec 24, 2014

Let a = a = Smallest in series

Sum of three consecutive odd numbers is

a + ( a + 2 ) + ( a + 4 ) = 159 a + (a + 2) + (a + 4) = 159

So that means that

3 a + 6 = 159 3a + 6 = 159

The simplifies down to

a = 51 a = 51

So the answer is 51 51

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