Hari babu left one-third of his property to his son, one-fourth to his daughter the remainder to his - Maths - Simple Equations

Question

Hari babu left one-third of his property to his son, one-fourth
to his daughter & the remainder to his wife If his wife's share
is Rs 18000, find the worth of his total property

Madhur Sharma · Answer

let the total property be p
according to the problem 1/3 of p =1/3 ^p
1/4 of p= 1/4 ^pwife's share = remainderso 1/3 ^p + 1/4 ^p= 7/12 ^
ptotal property =pson + daughter= 7/12 ^pso p-7/12 ^p= 5/12
^pwife's part = 5/12 ^pwife's part= 18000total property = 5/12 ^p=
18000p=18000*12/5rupees 43,200 total property

Hari babu left one-third of his property to his son, one-fourth to his daughter & the remainder to his wife. If his wife's share is Rs 18000, find the worth of his total property.