Consecutive Numbers

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Year 10 Interactive Maths - Second Edition

Consecutive Numbers

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:

Let the two consecutive odd numbers be x and x + 2. Therefore, x + x + 2 = 228. Subtract 2 from both sides and then divide both sides by 2 to find x = 113. So, the consecutive odd numbers are 113 and 115.

Check:

113 + 115 = 228

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