Question

Nicki was told to find three consecutive odd integers whose rum is 53. What is the right equation?

Answer 1

The option D) x + x+2 + x+4 = 53 represents the exact equation of sum of three consecutive odd integers which is equal to 53.

Step-by-step explanation:

The sum of the three consecutive odd integers = 53

To frame the equation :

• Let us consider any of the three consecutive odd integers.
• Let us take 1,3,5 as the three consecutive odd integers.

Assume the first odd integer as 'x'. In this case, (x=1)

• The second consecutive odd integer is 3.
• The difference between 1 and 3 is 2.

Therefore, the second consecutive odd integer is x+2.

• The third consecutive odd integer is 5.
• The difference between 1 and 5 is 4.

Therefore, the third consecutive odd integer is x+4.

This means that, the sum of any three consecutive odd integers are given as x + x+2 + x+4.

Given that,

Sum of the three consecutive odd integers is 53.

The first odd integer + second odd integer + third odd integer = 53

x + x+2 + x+4 = 53.

The option D) x + x+2 + x+4 = 53 represents the exact equation of sum of three consecutive odd integers which is equal to 53.