Thursday, March 21, 2013

If the sum of the first two of the five consecutive odd integers is 52, what is the sum of the last two integers?

Let the five odd integers be:


x ,
x+2 , x+4, x+6 , x+ 8


Then given the sum of the first two integers
is 52


==> x + (x+ 2) = 52


Let us
combine like terms:


x + x + 2 =
52


==> 2x + 2 = 52


==> 2x
= 50


==> x = 25


Then the first
number is 25


Then the second numbers is 25+2 =
27


The third consecutive integer = 25+ 4 =
29


The fourth integer is  = 25+ 6) =
31


The fifth integer is = 25+8 =
33


Then the sum of the last two integers
is:


 31 + 33 =
64

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