SOLUTION: The greater of two consecutive even integers is six less than twice the smaller.

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Question 159306This question is from textbook ALgebra structure and method Book 1
: The greater of two consecutive even integers is six less than twice the smaller. This question is from textbook ALgebra structure and method Book 1

Answer by aka042(26) About Me  (Show Source):
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Given two consecutive even integers a and b, we note that b = a + 2. Therefore, we can write "the greater of two consecutive even integers" as a + 2. Since a is the smaller integer, then 'six less than twice the smaller' is 2*a - 6. Therefore we have the equation a%2B2+=+2%2Aa+-+6 which simplifies to a+=+2%2Aa+-+8 which further simplifies to +-a+=+-8 which means a = 8. a is the smaller integer, therefore 8 is your smaller integer and 10 is the consecutive even integer. Your two even integers are 8 and 10.