Question

The sum of two consecutive odd numbers is 56. Find the numbers.
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Answer 1

Answer:

$27 \: and \: 29$

Step-by-step explanation:

$let \: first \: odd \: consecutive \: no. \: be \: x \\ second \: odd \: consecutive \: no. = x + 2 \\ x + x + 2 = 56 \\ 2x + 2 = 56 \\ 2x = 56 - 2 \\ 2x = 54 \\ x = \frac{54}{2} \\ x = 27 \\ first \: odd \: consecutive \: no. \: = x = 27 \\ second \: odd \: consecutive \: no. = x + 2 \\ = 27 + 2 = 29$

Answer 2

Let the first number be = x
Consecutive odd number = x+2

According to the question,

x+x+2=56
2x+2=56
2x=56-2
2x=54
x=54/2
x=27




Therefore the two consecutive odd numbers are:

x=27
x+2=27+2=29



27 and 29 are the two consecutive odd numbers.