Question

answer the question​

Answer 1

$let \: ratio \: coffiecient \: be \: x \\ then \: \\ 6 {x}^{3} = 162 \\ {x}^{3} = 27 \\ x = 3 \\ no. \: of \:first \: award= 3 \\ number \: of \: secnd \: award = 6 \\ number \: of \: third \: type\: award = 9$

Answer 2

Answer:

Let the ratio of students be = 1x : 2x : 3x

it is given that product is 162

so,

1x * 2x * 3x      =     162

            6x³      =     162

               x³      =     162/6

                x³     =     27

                x       =     3

               2x      =      2×3

                          =      6

                3x      =      3×3

                          =       9

        Thus, 1:2:3 =       3:6:9

 Total  students who got prizes for each value  =       3+6+9

                                                                               =       18    

Hope it helped you

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