 Hello and welcome to the session. In this session we discussed the following question that says, divide 190 into three parts such that the second number is two-thirds the first and third number is nine-fourths the second. Now let's move on to the solution. So first of all we take let the first number be equal to x then we have the second number would be equal to two-thirds the first as given in the question so it would be two upon three into the first number that is x and this is equal to two x upon three and also the third number would be equal to as given in the question it is nine-fourths the second so this would be equal to nine upon four into the second number which is two x upon three now three three times is nine two two times is four so this is equal to three x upon two now we have got the first number is x second number is two x upon three and third number is three x upon two now according to the session we have the first number that is x plus the second number that is two x upon three plus the third number that is three x upon two is equal to 190. So now this would give us six in the denominator now six one times is six so six into x is six x plus three two times is six so two into two x is four x plus two three times is six and three into three x is nine x and this is equal to 190 this means we get 19x upon six is equal to 190 that is 19x is equal to 190 into six now to get the value for x we write both sides by 19 19 and 19 gets cancelled at 19 10 times is 190 so we get x equal to 60 now we had assumed the first number to be x so we say the first number is equal to now the second number was two x upon three so we get the second number is equal to two into x that is two into 60 upon three now three 20 times is 60 so this is equal to two into 20 equal to 40 then we have the third number is equal to three x upon two we put the value for x as 60 so three into 60 upon two now two 30 times is 60 so this would be equal to three into 30 equal to 90 so we have divided 190 into three parts 60 40 and 90 so final answer is 60 40 90 this completes the session hope you understood the solution for this question