Question

Michael is 5 years older than his brother, Peter. The product of their ages is 234. How old is Peter?

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Peter is 13 years old.

Step-by-step explanation:

Given:

• Michael is 5 years older than his brother, Peter.
• The product of their ages is 234.

To find:

• How old is Peter?

Solution:

Here, we are provided that Michael is 5 years older than his brother, Peter, so if we assume that age of Peter as x, then the age of Michael would be 5 added to x because he is 5 years older.

We know that the product of their ages is 234, which means when their ages are multipled together then the result is equal to 234.

Thus, forming an adequate equation and doing the required calculations, we can easily find the value of x which is nothing but the age of Peter.

Let's find out...

Let the age of Peter be x,

then the age of Michael = x + 5

According to the problem,

• x × ( x + 5 ) = 234
• x² + 5x = 234
• x² + 5x - 234 = 0
• x² + 18x - 13x - 234 = 0
• x(x + 18) - 13(x + 18) = 0
• (x - 13) (x + 18) = 0

Take,

• x - 13 = 0
• x = 13

Now, take

• x + 18 = 0
• x = - 18

Age can't be negative so take positive,

∴ Age of Peter = 13 years

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