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3 years ago

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

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 ⇒ first integer

X + 1 ⇒ second integer

X + 2 ⇒ third integer

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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Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.

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*************************************************************************

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**********************************************************************************

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