The sum of two consecutive odd numbers is 56. Find the numbers.
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Answered by
2
Step-by-step explanation:
The two consecutive odd numbers whose sum is 56 are 27 and 29.
Answered by
0
Answer:
The difference between two consecutive odd numbers = 2.
Let one of the two consecutive odd numbers bex.
∴ The other odd number = x + 2.
The sum of the two numbers = 56.
According to the given condition,
x + (x + 2) = 56
⇒ x + x + 2 = 56
2x + 2 = 56
2x = 56 – 2 (Transposing 2 to RHS)
2x = 54
(Transposing 2 to RHS)
x = 27
The first odd number = x = 27
The other odd number = x + 2 = 27 + 2 = 29
∴ The two consecutive odd numbers whose sum is 56 are 27 and 29.
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