Considering the definition of an equation and the way to solve it, Hailey's age is 18 years.
Definition of equation
An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.
The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.
To solve an equation, keep in mind:
- When a value that is adding, when passing to the other member of the equation, it will subtract.
- If a value you are subtracting goes to the other side of the equation by adding.
- When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.
- If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.
Hailey's age
Being "x" the age of the youngest child, then you have:
- "x" the age of the youngest child.
- "x + 1" the age of one middle child.
- "x + 2" the age of the other middle child.
- "x + 3" the age of the oldest child, in this case Hailey's age.
On the other hand, you know that the sum of their ages is 66. Then, the equation is:
x + x + 1 + x + 2 + x + 3 = 66
Solving:
4x + 6 = 66
4x = 66 - 6
4x = 60
x= 60 ÷ 4
x= 15
Remembering that "x + 3" is Hailey's age, then her age is calculated as: x+3= 15 +3= 18
Finally, Hailey's age is 18 years.
Learn more about equations:
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