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Oliga [24]
3 years ago
14

Find three consecutive integers whose sum is 60.

Mathematics
2 answers:
alexandr1967 [171]3 years ago
7 0

60 = x + x + 1 + x + 2

60 = 3x + 3

-3

57 = 3x

/3

19 = x

The 3 integers are: 19, 20, and 21.

Ket [755]3 years ago
6 0

Answer: 19, 20, and 21

Step-by-step explanation: This problem states that the sum of 3 consecutive integers is 60 and it asks us to find the integers.

Three consecutive integers can be represented as followed.

X ⇒ <em>first integer</em>

X + 1 ⇒ <em>second integer</em>

X + 2 ⇒ <em>third integer</em>

Since the sum of our 3 consecutive integers is 60, we can set up an equation.

X + X + 1 + X + 2 = 60

3x + 3 = 60

      -3     -3

3x = 57

÷ 3  ÷ 3

X = 19

X + 1 = 20

X + 2 = 21

Therefore, our three consecutive integers are 19, 20, and 21.

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