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Law Incorporation [45]
2 years ago
7

The sum of 3 consecutive

Mathematics
2 answers:
Troyanec [42]2 years ago
7 0
The three numbers are 52, 53, 54.

52+53=105 105+54=159
Dennis_Churaev [7]2 years ago
6 0

Answer:

52, 53, 54

Step-by-step explanation:

To find the 3 numbers, we first use the equation x + x + 1 + x + 2 = 159.

Step 1: Combine like terms.

  • (x+x+x)+(1+2)=159
  • 3x + 3 = 159

Step 2: Subtract 3 from both sides.

  • 3x + 3 - 3 = 159 - 3
  • 3x = 156

Step 3: Divide both sides by 3.

  • 3x/3 = 156/3
  • x = 52

Step 4: Plug in 52 back into the equation.

  • (52) + (52+1) + (52+2) = 159
  • 52+53+54=159
  • 105 + 54 = 159
  • 159

Therefore, the numbers are 52, 53, and 54.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

 ~ ren ⚘

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Molodets [167]

Given:

In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second.

To find:

The equation for the given situation if the sum of the numbers is 77.

Solution:

a. Let the first number in the set is x.

The second is 3 more than the first. So, the second number is (x+3).

The 3rd number is a square of the second. So, the third number is (x+3)^2.

Therefore, the first, second and third numbers are x,(x+3),(x+3)^2 respectively.

b. The sum of the numbers is 77.

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c. So, the equation in terms of x is:

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d. On simplification, we get

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x^2+8x+12=77

Subtract 77 from both sides.

x^2+8x+12-77=77-77

x^2+8x-65=0

Therefore, the simplified form of the required equation is x^2+8x-65=0.

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