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The sum of three consecutive integers is 72?

Anonymous

∙ 13y ago

Updated: 4/28/2022

Since the three integers are consecutive, let them be: m, m+1, and m+2.

Then:

m + (m+1) + (m+2) = 72
m + m + 1 + m + 2 = 3m + 3 = 72
3(m+1) = 72
m+1 = 24
m = 23

So the three integers are: {23, 24, 25}. Check and they do in fact sum to 72.

Wiki User

∙ 13y ago

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The sum of the three consecutive integers?

The sum of three consecutive integers is -72

Find three consecutive even integers whose sum is 72?

The even integers are 22, 24 and 26.

What is the sum of three consecutive integers is -222?

Presumably the sum is -222, as defined by the question!

If the sum of the three consecutive integers is less than 75 what is the greatest possible value of the smallest one?

If sum were 75 the integers would be 24, 25 and 26, so the next lowest sum would be 23 + 24 + 25 ie 72. The answer is thus 23.

What three consecutive integers have a sum of 72?

Another way of stating this is: n + (n+1) + (n+2) = 72; find n. Doing the math that works out to 3n + 3 = 72 or 3n = 69 at which point it should be obvious that n is 23 and the three integers are 23, 24, and 25.

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Related Questions

The sum of the three consecutive integers?

The sum of three consecutive integers is -72

Three times the sum of three consecutive integers is 72 what are the integers?

72/3 = 24 and 7+8+9 = 24 so the integers are 7, 8 and 9.

Find three consecutive even integers whose sum is 72?

The even integers are 22, 24 and 26.

What is the sum of three consecutive integers is -222?

Presumably the sum is -222, as defined by the question!

What are two consecutive even integers whose sum is 72?

There are none. However, the two odd numbers are 35 and 37.

What is the sum of three consecutive odd integers that is -72?

Let's denote the three consecutive odd integers as x, x+2, and x+4. Since they are odd integers, they are separated by 2 units. The sum of these integers can be represented as x + (x+2) + (x+4) = 3x + 6. Given that the sum is -72, we can set up the equation 3x + 6 = -72 and solve for x. Subtracting 6 from both sides, we get 3x = -78. Dividing by 3, we find x = -26. Therefore, the sum of the three consecutive odd integers is -72.

The sum of 3 consecutive integers is 72 find the 3 integers?

The numbers are 23, 24 and 25.

What is three consecutive even integers whose sum equals 210?

Middle integer must be one-third of the sum, in this case 70. Other two are therefore 68 and 72

Four consecutive odd integers whose sum is -72?

The numbers are -21, -19, -17 and -15.

Find two consecutive odd integers whose sum is 72?

Two consecutive odd integers are 'X' and 'X+2' . X + (X + 2) = 72 2X + 2 = 72 2X = 70 X = 35 X + 2 = 37

If the sum of the three consecutive integers is less than 75 what is the greatest possible value of the smallest one?

If sum were 75 the integers would be 24, 25 and 26, so the next lowest sum would be 23 + 24 + 25 ie 72. The answer is thus 23.

What is The sum of three consecutive numbers is 72?

23, 24 & 25 :)

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