The $I.Q.$ of a person is given by the formula $I.Q. = \frac{MA}{CA} \times 100$,where $MA$ is mental age and $CA$ is chronological age. If $75 < I.Q. < 125$ for a group of $16$ year old children,find the range of their mental age.
(N/A) Given the formula $I.Q. = \frac{MA}{CA} \times 100$ and $CA = 16$.
Substituting the values,we get $75 < \frac{MA}{16} \times 100 < 125$.
Divide the entire inequality by $100$: $0.75 < \frac{MA}{16} < 1.25$.
Multiply by $16$: $0.75 \times 16 < MA < 1.25 \times 16$.
Calculating the values: $12 < MA < 20$.
Thus,the range of their mental age is between $12$ and $20$ years.
Substituting the values,we get $75 < \frac{MA}{16} \times 100 < 125$.
Divide the entire inequality by $100$: $0.75 < \frac{MA}{16} < 1.25$.
Multiply by $16$: $0.75 \times 16 < MA < 1.25 \times 16$.
Calculating the values: $12 < MA < 20$.
Thus,the range of their mental age is between $12$ and $20$ years.
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