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2 years ago

Three consecutive odd integers have a sum of 51. what is the smallest integer

Mathematics

1 answer:

nalin [4]2 years ago

7 0

Answer:

Step-by-step explanation:

Let 2n+1 be the first odd integer.

Therefore, the consecutive odd integers will be 2n+3 and 2n+5

If the sum of the consecutive odd integers is 51 then:

⇒ 2n + 1 + 2n + 3 + 2n + 5 = 51

⇒ 6n + 9 = 51

⇒ 6n = 42

⇒ n = 7

To find the values of the integers, substitute the found value of n into the expressions:

First integer: 2(7) + 1 = 15
Second integer: 2(7) + 3 = 17
Third integer: 2(7) + 5 = 19

Therefore, the three consecutive odd integers that sum to 51 are <u>15, 17 and 19</u>. The smallest of which is 15.

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Burka [1]

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10.

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11.

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14.

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