Respuesta :

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let x = number
2(x-2)=3(x+6)
2x-4=3x+18
2x-3x=18+4
-x=22
x=-22
akposevictor

Translating the word problem into algebraic equation, the number is determined as: x = 18.

Representing World Problem with Algebraic Equations

  • The unknown number is always denoted with a variable (alphabet).
  • Phrases can be translated into algebraic equations using operation signs and variables.

Thus, translate the problem given into algebraic equation:

Let the unknown number be x.

"2 less than x" is x - 2

"6 more than x" is x + 6

Thus, if their ratio gives 2 to 3, therefore, the equation would be:

(x - 2)/(x + 6) = 2/3

  • Cross multiply to find x

3(x - 2) = 2(x + 6)

3x - 6 = 2x + 12

3x - 2x = 6 + 12

x = 18

Thus, translating the word problem into algebraic equation, the number is determined as: x = 18.

Learn more about algebraic equations on:

https://brainly.com/question/2164351

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