High School

Intelligence quotient (IQ) varies directly as a person's mental age and inversely as that person's chronological age. Fifteen-year-old Erin has a mental age of 15 and scores 100 on an IQ test. Simon has a mental age of 24 and a chronological age of 20. What is his IQ?

Answer :

According to the given information, IQ varies directly with mental age and inversely with chronological age. Therefore, we can use the formula:

IQ = k * (mental age / chronological age)

where k is a constant of proportionality.

To find the value of k, we can use the information given about Erin. When Erin's mental age is 15 and her chronological age is 15, her IQ is 100. When these values are added to the formula, we obtain:

100 = k * (15/15)

Simplifying this equation, we get:

k = 100

Now we can use this value of k to find Simon's IQ. Simon's mental age is 24 and his chronological age is 20. When we enter these values into the formula, we obtain:

IQ = 100 * (24/20)

Simplifying this equation, we get:

IQ = 120

Therefore, Simon's IQ is 120.

Learn more about chronological age

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