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Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:

  • a)
    9

  • b)
    11

  • c)
    13

  • d)
    15

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Three times thefirst of three consecutive odd integers is 3 more than ...
Let the three consecutive odd integers be x, x+2, x+4

Three times the first of three consecutive odd integers is 3 more than twice the third.

∴ 3x=2(x+4)+3

∴ x=11

Hence, the third integer is 11+4=15.


Thus, the correct answer is Option D
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Most Upvoted Answer
Three times thefirst of three consecutive odd integers is 3 more than ...
Let's assume that the first odd integer is x. Then, the other two odd integers are x+2 and x+4.

Given, three times the first integer is 3 more than twice the third integer.

So, we can write an equation as follows:

3x = 2(x+4) + 3

Simplifying the above equation, we get:

3x = 2x + 8 + 3

3x = 2x + 11

x = 11

Therefore, the third odd integer is x+4 = 11+4 = 15.

Hence, the correct answer is option 'D'.
Community Answer
Three times thefirst of three consecutive odd integers is 3 more than ...
Let the three integers be x, x + 2 and x + 4
Then, 3x = 2(x + 4) + 3 ⇔ x = 11
∴ Third integer = x + 4 = 15
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Three times thefirst of three consecutive odd integers is 3 more than twice the third. The third integer is:a)9b)11c)13d)15Correct answer is option 'D'. Can you explain this answer?
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