SOLUTION: could anyone help me solve this problem mr.pandit divided an amount of rs.108000 amongst his daughters and 3 sons.each daughter received thrice the amount as each of the sons.ho

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: could anyone help me solve this problem mr.pandit divided an amount of rs.108000 amongst his daughters and 3 sons.each daughter received thrice the amount as each of the sons.ho      Log On


   



Question 824039: could anyone help me solve this problem
mr.pandit divided an amount of rs.108000 amongst his daughters and 3 sons.each daughter received thrice the amount as each of the sons.how much amount did each daughter receive?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the amount received by one of his sons, 3x be the amount received by one of his daughters and a be the number of his daughters, then
a3x +x +x +x = 108000
a3x +3x = 108000
3x*(a+1) = 108000
a+1 = 108000 / 3x
a+1 = 36000 / x
let x = 12000 and
a+1 = 3
a = 2
therefore
each son received Rs 12000 and each daughter Rs 36000 (there are two daughters)
check our answer
36000 +36000 +12000 +12000 +12000
72000 + 36000 = 108000
our answer checks