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Originally Posted by suruchika83 A's uncle died.he left a will,instructing his executors to divide his estate of Rs.1.920,000 in this manner. Every son shud recieve 3 times as much as a daughter, and that evry daughter shud get twice as much as their mother. .How much did the mother get?
plz give explanation hw u have solved it.
thanx |
hii there.... i dunno if m rite or not but i think the question shud b ' least amount tht mother can get' rather than how much did the mother get...
the answer m getting is Rs 1024... if its correct then u can read further otherwise just ignore... my mistake mebbe
let mother gets Rs. a , then each daughter gets 2a and each son gets 6a
so eqn. becomes: a + 2a*n + 6a*m = 1,92,000 where n= no. of daughters, m =no. of sons
tht is: a*(1+2n+6m) = 1,92,000 = 2^10 * 3 * 5^4 where ^ denotes raise to the power
now since the term inside the bracket is odd, 'a' shud cancel out even part in RHS.... so 'a' shud b atleast 2^10=1024........ let 'a' be 1024*x where x is some variable
1024*x*(1+2n+6m)=1,92,000 .....
x*(1+2n+6m)= 3* 5^4
now for any integer value of 'x' , there is no unique soln. for 'm' and 'n'..... and hence the minimum amount tht mother shud get is Rs 1024
cheerz
Rohit
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