Find four consecutive even integers such that the sum of twice the first, five times the second, and four times the third divided by three the fourth equals 3.

Respuesta :

2x + 5(x + 2) + 4(x + 4) / 3(x + 6) = 3

11x + 26 / 3x + 18 = 3

11x + 26 = 9x + 54

2x = 28

x = 14

The integers are 14, 16, 18 and 20 Answer

The four consecutive even integers are 14, 16, 18, and 20.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that four consecutive even integers such that the sum of twice the first, five times the second, and four times the third divided by three the fourth equals 3.

The four even integers will be calculated as below:-

2x + 5(x + 2) + 4(x + 4) / 3(x + 6) = 3

11x + 26 / 3x + 18 = 3

11x + 26 = 9x + 54

2x = 28

x = 14

Therefore, the four consecutive even integers are 14, 16, 18, and 20.

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