The sum of three consecutive even integers is 30. What are the integers? [SOLVED] (2024)

FAQs

The sum of three consecutive even integers is 30. What are the integers? [SOLVED]? ›

Answer: The three consecutive integers whose sum is 30 are 8, 10, and 12.

1 Expert Answer

You can make an equation x + (x+2) +(x + 4) = 30. Then by combining like items, you get 3x + 6 = 30. Then solve, 3x = 30 - 6; then 3x = 24, and x = 8. So the 3 numbers are 8, 10 and 12.

The four consecutive numbers whose sum is 30 are: 6, 7, 8, and 9.

The number series 2, 4, 6, 8, 10, 12, . . . . , 60. Therefore, 930 is the sum of first 30 even numbers.

30/3=10. So ten is the average number. The numbers are (10 – 1), 10, and (10 + 1), thus 9, 10, and 11. Correction (10–2), 10, and 10 + 2), thus 8, 10, and 12.

For example, if you mean “what TWO positive whole numbers add up to 30”, then there are 29 such combinations (1 + 29, 2 + 28, 3 + 27, and so on).

Positive Integers

Z+ → 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30,….

The numbers are 14 and 16.

Therefore, The sum of the first 30 natural numbers is 465.

What are the Even Numbers from 1-100? The list of even numbers from 1-100 is as follows: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70,72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100.

What two consecutive integers whose product is 30? ›

Hence, the numbers are 5 and 6. The product of two consecutive natural numbers is 30.

Hence, the three consecutive numbers are 10, 11, 12.

The correct Answer is:2,10,18 or 18,10,2. Step by step video, text & image solution for The sum of three consecutive terms of an A.P. is 30 and their product is 360.