An old man distributed his bank balance of 60 lacs among three of his children. The eldest one was h

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23 Aug 2011 bank balance

An old man distributed his bank balance of 60 lacs among three of his children. The eldest one was his daughter and other two were boys. He distributed his money in such a way that daughter got half as many lacs as her age whereas boys got lacs equal to their ages respectively. If difference of the ages between the children is 5, then sum of their ages will be

OPtion

1) 60
2) 65
3) 70
4) 75
5) 80
6) 85
7) 90
8) 95
9) 100
10) 105

Solution

according to the given condition
x/2 + y + z = 60
and x - y = 5, y - z = 5
on solving we will get x = 30, y = 25, z = 20

Correct Option: 4 Best Solution (9)

Amit Nathani   13 years AGO

let age of daughter=x
then,(x/2)+(x-5)(x-10)=60
5x/2=75
x=30
sum of age=30+25+20=75

Like? Yes (8) | No   

Subhash Yadav   13 years AGO

x+(x+5)+(x+10)/2 =60
=>x=20
thus
x=20
x+5=25
x+10=30
20+25+30=75

Like? Yes (4) | No   

Biswajit Das   13 years AGO

let x be the age of eldest child
and (x-5) and (x-10) be the age of younger childdren.
now,
x/2+(x-5)+(x-10)=60
x/2+2x=75
x=30
so sum of the ages of his children=30+25+20=75yrs

Like? Yes (2) | No   

Gunaseelan   13 years AGO

Let the youngest son age be x,
Then the other son and the daughter age will be x+5,x+10 respectively.
Given x+(x+5)+((x+10)/2)=60
5x+20=120
x=20
So the sum of the age = x+(x+5)+(x+10)
= 75

Like? Yes (2) | No   

Aparajita Chowdhury   13 years AGO

the age of three children is x,y,z,where,x=y+5,y=z+5
so,x/2+y+z=60
or,(z+10)/2+(z+5)/2+z=60
therefore,z=20
so,y=25
and x=30.sum of their age is 20+25+30=75

Like? Yes (2) | No   

dharmil   13 years AGO

75.
let the ages of 3 children be(30,25,20).
eldest children(daughter) gets half of her age,i.e's
15 lacs.
other 2 children gets equal to their age,25lacs,20lacs.
so total is 60lacs.
sum of their ages is 75.

Like? Yes (2) | No   

virendra   13 years AGO

there ages are: 30, 25, 20
they get lac: 15, 25, 20 = 60 lac

Like? Yes (1) | No   

Datla Kanthi   13 years AGO

Their ages are 30,25 and 20 yrs respectively

Like? Yes (1) | No   

geetha   13 years AGO

a-daughter,b&c-other boys ,
given a-b-c=5,assume a+b+c=75
a-b-c+a+b+c=5+75
2a=80
a=40,b+c=35
daughter got half as many lacs as her age so the daughter got 25 lac
boys got lacs equal to their ages ,so boys got 35lac
sum of thier age is 75

Like? Yes (1) | No