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Numerical Applications — Applied Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceApplied MathsNumerical Applications2 Marks
Question
The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest number ?
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Answer

Let the numbers be $x, x+2, x+4, x+6$ and $x+8$.
$
\begin{array}{l}
\text { Then, } \frac{x+(x+2)+(x+4)+(x+6)+(x+8)}{5}=61 \\
\Rightarrow 5 x+20=305\\
\Rightarrow x = 57
\end{array}
$
So, required difference $=(57+8)-57=8$.

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