In a party of 35 people there are twice as many women as children and twice as many children as men.

M4maths Previous Puzzles

26 Aug 2015 Number

In a party of 35 people there are twice as many women as children and twice as many children as men. How many of each are there?

OPtion

1) 20 men, 10 children, 5 women
2) 10 men, 15 children, 10 women
3) 15 men, 5 children, 20 women
4) 9 men, 16 children, 10 women
5) 16 men, 9 children, 10 women
6) 15 men, 15 children, 5 women
7) 5 men, 10 children and 20 women
8) 15 men, 10 children, 10 women
9) 5 men, 5 children, 25 women
10)None of these

Solution

5 men, 10 children and 20 women
If x = the number of men, then x + 2x + 4x =35
therefore 7x = 35
so x = 5

Option 7)

Correct Option: 7 Best Solution (30)

praveendas   9 years AGO

simple, go through verification of options.

Like? Yes (6) | No   

Surit Datta   9 years AGO

IF x = the number of men,
then x + 2x + 4x = 35.
Therefore 7x = 35.
So X = 5.
so option 7
that's it.

Like? Yes (7) | No (3)  

RAHUL KUMAR   9 years AGO

Let men be x.
then children will be 2x and women will 4x
so, x+2x+4x=35
x=5
therefore, men=5, children= 10, and women=20
option 7 is right.

Like? Yes (2) | No   

bhaskar   9 years AGO

m+2m+4m=35
m=5
c=10
w=20

Like? Yes (2) | No (1)  

Rahul kumar   9 years AGO

no of women=2x
no of child=x
no of men=x/2
2x+x+x/2=35
x=10
so women=20,child=10,men=5

Like? Yes (1) | No   

Venkatesh kadali   9 years AGO

the ratio of women and children and men is =4:2:1
7x=35
x=5
so womens are=4*5=20

childrens are=2*5=10

and mens are=1*5=5

so answer is 7

Like? Yes (1) | No   

Srikanthreddy    9 years AGO

let say men=x
from question children=>2*men= 2 x
women=>2*children=2(2 x)
total=>x+2 x+4 x= 35
=>x=5
=>men=5,children=10,women=20

Like? Yes (1) | No   

Nikhil Kumar   9 years AGO

let the number of children=x
then number of men=x/2
number of women=2x
hence 2x+x+x/2=35
solving x=10

Like? Yes (2) | No (1)  

Lakhi kant Roy   9 years AGO

IF x = the number of men,
then x + 2x + 4x = 35.
Therefore 7x = 35.
So X = 5.
Men=5,Children=5 and Women=20

Like? Yes (1) | No   

Shubham Raj   9 years AGO

let take the men=x
children =2x
women = 4x
then from question
x+2x+4x=35
so , x= 5
option- 7

Like? Yes (1) | No   

Prabhat Burnwal   9 years AGO

let the number of children=x
then number of men=x/2
number of women=2x
hence 2x+x+x/2=35
solving x=10

Like? Yes (1) | No   

sudiptaa   9 years AGO

Let C = x
W= 2x
M = x/2

x+x/2+2x= 35
x= 10

C= 10
M= 5 W=20

Like? Yes (1) | No   

manohar kumar singh   9 years AGO

let men be x then children are 2 x and women 2 * 2x= 4x

therefore, x+2x+4x=35
7x=35
x=5
men 5, children 10, women 20

Like? Yes (1) | No   

sahil arora   9 years AGO

let no. of men's be 'x'
no. of women's be 'y'
no. of children's be 'z'
acc.to the question
y=2z;
z=2x;
and as it is given in question total no of people are 35
therefore x+y+z=35
on calculation we get x=5;y=20and z=10

Like? Yes (1) | No   

velmala gangadhar   9 years AGO

let no.of womens x
no.of children y
no.of men z
x=2y,y=2z,x+y+z=35...then x=20,y=10,z=5...option 7

Like? Yes (1) | No   

chindam laxman   9 years AGO

w=2C
C=2M
WE KNOW : W+C+M=35
------> C=10
M=5
W=20.

Like? Yes (1) | No   

Kunal nemu   9 years AGO

if x = then number of men.
then x + 2 x + 4 x = 35
so 7 x = 35
therefore x = 5
the answer is 5 men ,10 children,and 20 women

Like? Yes (1) | No   

Nabarupa Das   9 years AGO

if there will be 5 men and children=5*2=10 and 10*2=20 women

Like? Yes (1) | No   

Hemanth kumar   9 years AGO

IF x = the number of men,
then x + 2x + 4x = 35.
Therefore 7x = 35.
So X = 5.

Like? Yes (1) | No   

manish kumar   9 years AGO

let no of men=x
then no. of child=2x
and no.of women=4x
A/q:-
x+2x+4x=35
so that
x=5
hence no of men =5
no.of children=10
and no. of women=20

Like? Yes (1) | No   

K. Vanisri   9 years AGO

children=2*man
woman=2*children=4*man
men+women+children=35
men+4*men+2*men=35
therefore, men=5
women=10
children=20

Like? Yes (1) | No   

jasbir kaur   9 years AGO

M:2M:4M
7M=35 , M=5
so, Men=5, Children=10, Women=20

Like? Yes (1) | No   

ramakrishnateja   9 years AGO

given that c=2m
w=2c, let men=y then c=2y,w=4y.hence 4y+2y+y=35
7y=35 y=5.hence men=5,children=10,women=20.

Like? Yes (1) | No   

Anurag Sahay Sriavsatav   9 years AGO

Select by option. Only option no 7 satisfied the condition given above.

Like? Yes (1) | No   

Ankan Chakraborty   9 years AGO

let the no of men= x
then children=2x
and women = 4x
so
x+2x+4x=35
x=5
men=5,children=10,women=20

Like? Yes (1) | No   

SAGNIK DATTA   9 years AGO

men=x ,children=2x ,women=4x
so 7x=35 so x=5
so men children women = 5 10 20

Like? Yes (1) | No (1)  

sourav pal   9 years AGO

IF x = the number of men,
then x + 2x + 4x = 35.
Therefore 7x = 35.
So X = 5.
So 5 Men ,10 Children and 20 Women

Like? Yes (1) | No (1)  

Pranati Kundu   9 years AGO

let no. of men be x
then no of children is 2x and women is 4x
4x+2x+x=35
x=5

Like? Yes (1) | No (1)  

ramya   9 years AGO

X is the number of men
so x+2x+4x=95
7x=35
x=5

Like? Yes (1) | No (1)  

Moumita Choudhury   9 years AGO

Twice as many women as children so 20 women and 10 children. Similarly 10 children and 5 men going by the options. All together 35 people.

Like? Yes (1) | No (2)