Calculation by Intuition
For any odd integer n, the consecutive odd number is n+2
n + (n+2) = 44
2n = 42
n = 21, and the second number is 23
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Calculation of Integers method
For any integer n, the first odd number is 2n + 1, and the second number is 2n + 3.
[2n + 1] + [2n + 3] = 44
4n + 4 = 44 subtract 4 to both sides
4n = 40 divide by 4 to both sides
n = 10
2n + 1 = 2(10) + 1 = 20 + 1 = 21
Thus the smallest number is 21.
The two numbers can be thought of as: Smaller Odd Number = x + 1 (Add one to ensure it is an odd number) Larger Consecutive Odd Number = Smaller Number + 2 = x + 1 + 2 = x + 3 We know that Smaller Odd Number + Larger Consecutive Odd Number = 100 (X + 1) + (x + 3) = 100 2x + 4 = 100 2x = 96 x = 48 Smaller Odd Number = 48 + 1 = 49 The smaller odd number is 49. The next consecutive odd number of course is 51.
There are no four consecutive whole numbers that add up to 35. The sum of two consecutive [whole] numbers is an even number plus an odd number which is an odd number. The sum of two consecutive numbers and the two next consecutive numbers is the sum of two odd numbers which is even, but 35 is odd, so no four consecutive whole numbers cannot add up to 35.
Adding consecutive pairs of numbers will always turn out to be an odd number. It would have to be consecutive odd numbers: 45 and 47.
Since 270 is an even number, then three consecutive odd numbers cannot add to 270. ,because Odd + odd = even (2 numbers_ Even + odd = odd ( plus a third number) odd + odd = even (plus a fourth number) even + odd = odd (plus a fifth number) Notice from the table that the third odd number gives an odd answer; not an even answer. e.g. three odd numbers 3,5, & 7. 3 + 5 = 8 (even) 8 + 7 = 15 ( odd) et. seq.,
Consecutive whole numbers will have an odd sum. Consecutive odd numbers, or consecutive prime numbers, will be 29 and 31.
There are two consecutive odd numbers such that five times the smaller plus twice the greater is 25. What is the smaller number?
The two numbers can be thought of as: Smaller Odd Number = x + 1 (Add one to ensure it is an odd number) Larger Consecutive Odd Number = Smaller Number + 2 = x + 1 + 2 = x + 3 We know that Smaller Odd Number + Larger Consecutive Odd Number = 100 (X + 1) + (x + 3) = 100 2x + 4 = 100 2x = 96 x = 48 Smaller Odd Number = 48 + 1 = 49 The smaller odd number is 49. The next consecutive odd number of course is 51.
The smaller number of the two is 11. The other is 13.
11
Two odd numbers are said to be consecutive if there are no other odd numbers in between. This happens when the first number is odd, and the second number is two more than the first number.
There are none. However, there are two consecutive positive odd numbers: 25 and 27.
There is no solution. You could do it if the numbers were odd: 25 and 27 are consecutive odd numbers that equal 52.
There are no four consecutive whole numbers that add up to 35. The sum of two consecutive [whole] numbers is an even number plus an odd number which is an odd number. The sum of two consecutive numbers and the two next consecutive numbers is the sum of two odd numbers which is even, but 35 is odd, so no four consecutive whole numbers cannot add up to 35.
Adding consecutive pairs of numbers will always turn out to be an odd number. It would have to be consecutive odd numbers: 45 and 47.
It is 21 because 21+23 = 44
No, because every other number in the number line is odd so therefore if you have any number of consecutive numbers you will have at least one odd number (if you're talking about consecutive numbers on a number line).
Consecutive numbers will always total an odd number. Consecutive odd numbers or consecutive primes would be 5 and 7.