SOLUTION: The sum of 2 consecutive odd integers is 92. find the numbers.

Question 78164: The sum of 2 consecutive odd integers is 92. find the numbers.
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Let x be the first odd integer. The next odd integer is two away from the first odd integer
because an even number appears between them.
.
Since x is the first odd integer, then next odd integer above it is x + 2. The problem
then says that if you add these two integers the result is 92.
.
In equation form this is:
.
x + (x+2) = 92
.
adding the x terms changes the left side to:
.
2x + 2 = 92
.
Eliminate the 2 on the left side by subtracting 2 from the left side. But subtracting
2 from the left side means you also have to subtract 2 from the right side. The result
of these subtractions is:
.
2x = 90
.
Solve for x by dividing both sides by 2 to get:
.
x = 90/2 = 45
.
Since 45 is the first odd number, the next odd number is 45 + 2 or 47. The answers
are 45 and 47.
.
Check by adding these two odd integers and you will see that they total 92, just as
specified by the problem.
.
Hope this helps you to understand how to identify odd integers as being 2 units above the
the preceding odd integer.

RELATED QUESTIONS
The sum of 2 consecutive odd integers is 92. Find the numbers. If x represents the... (answered by josmiceli)

The sum of the reciprocals of 2 consecutive odd integers is 8/15. Find the... (answered by josgarithmetic,MathTherapy)

The sum of the squares of two consecutive odd negative integers is 290.Find the... (answered by mananth)

The sum of the squares of two consecutive odd positive integers is 202. Find the... (answered by robertb)

The sum of the squares of two consecutive positive odd integers is 202. Find the... (answered by tinbar,Alan3354)

if the product of 3 consecutive odd integers is 315,find the sum of the 2 smaller... (answered by CubeyThePenguin)

The sum of squares of two consecutive odd integers is 394. Find the... (answered by vleith)

The sum of three consecutive odd integers is 345. Find the largest of these three... (answered by ankor@dixie-net.com)