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If Kim's age is twice of her sister. When you add Kim's age to her sister age, you get 36. How old is each sister? A) Write an equation that represents the situation. Explain any variable used. B)solve the equation from part (a)show your work. State your solution as a complete sentence. Thank you

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Answer:

Let's kim's sisters age be 2x and kim's age be x.

★ When we add kim's age to her sister age, they equals to 36.

So, the equation becomes -

[tex] \\ \implies \sf \: x + 2x = 36 \\ \\ \\ \implies \sf \: 3x = 36 \\ \\ \\ \sf \underline{Now, \: \: solve \: \: for \: x \: \: - } \\ \\ \\ \implies\sf \: x = \frac{36}{3} \\ \\ \\ \implies \large{ \boxed{ \sf{ x = 12}}} \\ [/tex]

  • Kim's sisters age = 12 years.
  • Kim's age = 2x = 2 × 12 = 24 years.