The sum of two consecutive odd integers is 256. What is the value of the larger integer?
A. 103
B. 127
C. 129
D. 153
E. 155

Respuesta :

Answer:

Step-by-step explanation:

Answer:

The greatest of the integers is 129 (C).

Step-by-step explanation:

Let x be the first integer.

x + (x + 2) = 256

2x + 2 = 256

2x = 254

x = 127

127 + 129 = 256

The required value of the larger integer is 129.

The sum of two odd integers is 256. The value of the larger integer is to be determined.

What are integers?

Integers are to be defined as the number on the number line but not rational or fraction.

Here.
let the two odd integers be (2n+1) and (2n-1).
The sum of two odd integers is 256. i.e.
2n+1+2n-1=256
4n=256
n = 64
Then the two odd integers are given as,
1st = 2n+1 = 2*64+1 = 129
2nd = 2n-1 = 2*64-1 = 127
129>127

Thus, the required value of the larger integer is 129.

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