Recent questions tagged number-system

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The product of three integers $X$, $Y$ and $Z$ is $192$. $Z$ is equal to $4$ and $P$ is equal to the average of $X$ and $Y$. What is the minimum possible value of $P$?$6$...
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The sum and product of two integers are $26$ and $165$ respectively. The difference between these two integers is ______$2$$3$$4$$6$
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A number consists of two digits. The sum of the digits is $9$. If $45$ is subtracted from the number, its digits are interchanged. What is the number?$63$$72$$81$$90$
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In a sequence of $12$ consecutive odd numbers, the sum of the first $5$ numbers is $425$. What is the sum of the last $5$ numbers in the sequence?
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The sum of eight consecutive odd numbers is $656$. The average of four consecutive even numbers is $87$. What is the sum of the smallest odd number and second largest eve...
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Find the sum of the expression$\dfrac{1}{\sqrt{1}+\sqrt{2}}+\dfrac{1}{\sqrt{2}+\sqrt{3}}+\dfrac{1}{\sqrt{3}+\sqrt{4}}+ \dots \dots +\dfrac{1}{\sqrt{80}+\sqrt{81}}$$7$$8$$...
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