Math  /  Algebra

QuestionHow old is Tyrone if twice his age increased by 17 is 53 ?

Studdy Solution

STEP 1

1. Let Tyrone's age be represented by the variable xx.
2. The problem states that twice Tyrone's age increased by 17 is equal to 53.
3. This can be translated to a mathematical equation which we will solve for xx.

STEP 2

1. Translate the word problem into a mathematical equation.
2. Simplify and solve the equation for xx.

STEP 3

Translate the word problem into a mathematical equation. Let xx be Tyrone's age.
2x+17=53 2x + 17 = 53

STEP 4

Subtract 17 from both sides of the equation to isolate the term with xx.
2x+1717=5317 2x + 17 - 17 = 53 - 17 2x=36 2x = 36

STEP 5

Divide both sides of the equation by 2 to solve for xx.
x=362 x = \frac{36}{2} x=18 x = 18
Solution: Tyrone is 18 years old.

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