1.

Divide 150 into 3 parts such that second no.is five sixth the first nd third number is four fifth the number .

Answer»

Let the three part be a, b and c

GIVEN :

SUM = 150

                                   

Given part :

First part = 'X'

                                       

Second part = 5/6 of x

                    = 5x/6

                                           

Third part = 4/5 of 5x/6

                = 2x/3

                                         

To find :

We have to find

the VALUE of 'x'

                                           

As we know that sum of

three part is 150

                                         

So,

   According to the question,

\implies\dfrac{x+5x}{6}+\dfrac{2x}{3}=150\\\\\\\implies6x+5x+4x=6\times150\\\\\\\implies x=\dfrac{6\times150}{15}\\\\\\\implies\boxed{x=<klux>60</klux>}

                                           

Now we are going to

find the value of First

part, second part and

the third part. By putting

the value of 'x'.

                                       

First part = x

              = 60

Second part = 5x/6

                    = 5 × 60 / 6

                    = 50

Third part = 2x/3

                = 2 × 60 /3

               =  40


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