Examples: Represent the given words or phrases in symbols.
15. The difference between the squares of two consecutive odd integers
Let x be the first odd integer, then
the second odd integer
square of the first odd integer
the square of the second odd integer
difference between the squares of two
consecutive odd integers
16. Carl has two times as many 10-peso coins than 5-peso coins.
Let x be the number of 5-peso coins, then
the number of 10-peso coins
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Sum of Consecutive Odd Integers Word Problems
If you know how to solve word problems involving the sum of consecutive even integers, you should be able to easily solve word problems that involve the sum of consecutive odd integers. The key is to have a good grasp of what odd integers are and how consecutive odd integers can be represented.
Odd Integers
If you recall, an even integer is always 22 times a number. Thus, the general form of an even number is n=2kn=2k, where kk is an integer.
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