High School

Which situation can be represented by the equation \( 56 = 2x - 10 \)?

A. Sammy's age is 10 more than twice Ted's age. Sammy is 56 years old. How old is Ted?

B. Sammy's age is 10 decreased by twice Ted's age. Ted is 56 years old. How old is Sammy?

C. Ted's age is twice Sammy's age decreased by 10 years. Ted is 56 years old. How old is Sammy?

D. Ted's age is 10 less than twice Sammy's age. Sammy is 56 years old. How old is Ted?

Answer :

Final answer:

The correct situation represented by the equation 56 = 2x - 10 is Sammy's age being 10 more than twice Ted's age, with Sammy being 56 years old, leading to Ted being 33 years old.

Explanation:

The situation that can be represented by the equation 56 = 2x - 10 is A. Sammy's age is 10 more than twice Ted's age. Sammy is 56 years old. How old is Ted?

To solve for Ted's age, we follow these steps:

Add 10 to both sides of the equation to isolate the term with the variable on one side, resulting in 56 + 10 = 2x which simplifies to 66 = 2x.

Divide both sides of the equation by 2 to solve for x, which gives us 33 = x.

Therefore, Ted's age is 33 years old.

Learn more about Solving Linear Equations here:

https://brainly.com/question/11897796

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Answer:

I'll try here: 23

Step-by-step explanation:

X = Sam's age.

X-10 = Ted's age

X + X -10 = 56

2X -10 =56

2x = 66

X = 33 , Sam's age

33 - 10 = 23 Ted's age

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