Question

Harry is one third as old as his father. If his father is x 12 years old, how old is Harry? StartFraction x over 3 EndFraction 4 StartFraction x over 3 EndFraction 12 3 x 12 3 x 36.

Answer 1

The age of the Harry in the terms of variable x, as the age of his father is (x+4) is represent with following equation.

$\sqrt{3}x+4$

How to write algebraic expression?

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Harry is one third as old as his father and his father is x+12 years old.To find the age of Harry, we need to convert the given statement into the algebraic expression.

Suppose the age of the Harry is a years and the age of his father is b years. Now Harry is one third as old as his father, thus

$a=\dfrac{1}{3}b$

Let the above equation is equation one.

As the father of Harry is x+12 years old. Thus put the value of age of his father in the equation one as,

$a=\dfrac{1}{3}(x+12)\\a=\sqrt{3}x+4$

The age of the Harry in the terms of variable x, as the age of his father is (x+4) is represent with following equation.

$\sqrt{3}x+4$$\sqrt{3}x+4$

Learn more about the algebraic expression here;

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