If x is any number, then x and x + 1 are consecutive
numbers.
E.g. 14 and 15 are consecutive numbers, as are 21 and 22.
Example 18
If the sum of two consecutive numbers is 159, find the numbers.
Solution:
Check:
79 + 80 = 159
Consecutive Even Numbers
If x is any even number, then x and x + 2 are
consecutive even numbers.
E.g. 8 and 10 are consecutive even numbers, as are 24 and 26.
Example 19
If the sum of two consecutive even numbers is 194, find the numbers.
Solution:
Check:
96 + 98 = 194
Consecutive Odd Numbers
If x is any odd number, then x and x + 2 are
consecutive odd numbers.
E.g. 7 and 9 are consecutive odd numbers, as are 31 and 33.
Example 20
If the sum of two consecutive odd numbers is 228, find the numbers.
Solution:
Check:
113 + 115 = 228
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