Question

Three numbers are in the ratio of 1:3:4. The sum of their cubes is 31556. Find the numbers

Answer 1

cumulative frequency of less than type for a particular value of the variable is obtained by cumulating or adding the frequencies of all values less than that value upto the frequency that particular value, i.e., by adding its frequency to the frequencies of all the values smaller than that value.

The purposed of a cumulative frequency distribution are as follows:

The first purpose is to find the number of observations or proportion or percentage of observations below/more than a certain value and in between two given values.

Secondly, a cumulative frequency distribution helps us to find values of  different measures like medians, modes etc.

thanks

Answer 2

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Let the 3 nos. be x , 3x , 4x
So , the sum of their cubes = 31556

ATQ ,
{x}3 + {3x}3 + {4x}3 = 31556
$({x})^{3} + ({3x})^{3} + ( {4x})^{3} = 31556$
${x}^{3} + {27x +}^{3} + {64x}^{3} = 31556$
${92x}^{3} = 31556$
${x}^{3} = 31556 \div 92$