Ram said to Meera that his age was double of her age 5 years before, and after 5 years his age will

M4maths Previous Puzzles

19 Sep 2012 age

Ram said to Meera that his age was double of her age 5 years before, and after 5 years his age will be 1.5 times that of her age. What will be the sum of their ages.

OPtion

1) 20
2) 28
3) 32
4) 34
5) 36
6) 40
7) 45
8) 50
9) 52
10) none of these

Solution

according to the given conditions
r-5 = 2(m-5) or r-2m = -5 (1)
and r+5 = 1.5(m+5) or r-1.5m = 2.5 (2)
(2) - (1) gives
0.5 m = 7.5 or m = 15
and r = 25
so r + m = 25+15 = 40

Correct Option: 6 Best Solution (17)

Ajay Kashyap   11 years AGO

let present age of Ram is R yrs and of Meera is M yrs
so according to question
R-5 = 2(M-5) ----(i)
R+5 = 3/2(M+5)------(ii)
AFTER SOLING BOTH EQUATIONS WE GET
R = 25 , M = 15
SO R+M = 40

Like? Yes (8) | No (3)  

Pallab Roy Chowdhury   11 years AGO

Let current age of Ram & Meera are x & y respectively...
So by question, x-5=2(y-5) and
x+5=1.5(y+5)
Solving above two equations we get x=25 & y=15
Hence, x+y=40...

Like? Yes (4) | No (1)  

Gulshan Kumar   11 years AGO

R-5 = 2(M-5) ----(i)
R+5 = 3/2(M+5)------(ii)
AFTER SOLING BOTH EQUATIONS WE GET
R = 25 , M = 15
SO R+M = 40

Like? Yes (3) | No   

Nitish Kumar   11 years AGO

let ram's age is x, and meera age's is y.
given,
x-5=2(y-5)
=>x-2y=-5 ------(1)
and
x+5=1.5(y+5)
=>x-1.5y=2.5 ------(2)
solving eqn.(1) and (2),
x=25 and y=15
x+y=25+15=40

Like? Yes (3) | No   

Lorna A. Canillo   11 years AGO

let x= age of Ram
y= age of Meera
Ram's age 5 yrs. before is x-5=2(y-5) eq. x-2y=-5
Ram's age 5 yrs. after is x+5=1.5(y+5)
eq. x-1.5y=2.5 => 10x-15y=25 get rid of decimal make real numbers (a,b,c) integral.
find y. -10x+20y=50 =>multiply eq. by -10
add
-10x+20y=50
10x-15y=25
5y=75
y=15
find x: x=2(15)-5
=30-5
x=25
therefore the sum of their ages is 40.

Like? Yes (3) | No   

Narender Bhardwaj   11 years AGO

let Ram current age=x years,
let Meera current age=y years,
Before 5 years Ram age was double of Meera age
Therefore x-5=2(y-5)
=>x-5=2y-10,
=>x-2y=-5.........(1)
Similarly after 5 years Ram age will be 1.5 times that of Meera age
Therefore
x+5=1.5(y+5)
=>x+5=1.5y+7.5
=>x-1.5y=2.5.........(2)

Solving (1) and (2) we get
x=15,y=25,
Hence Sum of Ram's and Meera's age=15+25=40 ans

Like? Yes (4) | No (2)  

Ankit   11 years AGO

Ram Age = R
Meera Age = M

R - 5 = 2 ( M - 5 )
R - 5 = 2M- 10
2M-R = 5
R +5 = 1.5 ( M + 5)
R + 5 = 1.5M +7.5
R- 1.5M = 2.5
2M - 5 - 1.5M = 2.5
.5M = 7.5
M = 15
R = 25
M + R = 40

Like? Yes (3) | No (1)  

shah jignesh   11 years AGO

suppose ram age is x and meera has y
so
x-5=2y-10
x+5=1.5y+7.5 ................
solve them x=25,y=15
sum=40

Like? Yes (2) | No   

subratverma   11 years AGO

let the present age of ram and meera is x and y
then form the question it is clear dat..
(x-5)=2(y-5)..........(1)
(x+5)=1.5(y+5)........(2)

after solving eqution we get x=25,y=15
so the sum of ages will be.
x+y=25+15=40
so option 6 is correct..:)

Like? Yes (2) | No   

Kiran Datti   11 years AGO

ram's present age= r
meera's present age =m
r-5=2(m-5) ------(1)
r+5=3/2(m+5) -----(2)

solving these 2 equations we get m=15 and r=25

then m+r=40

Like? Yes (2) | No   

sridhar reddy   11 years AGO

let the ages of ram and meera are R & M respectively
5 yrs before their ages
R-5=2(M-5)
R=2M-5..........1
after 5 yrs their ages will be
R+5=1.5(M+5)
2R=4M-10...........2
on solving 1 and 2 equations
age of Ram R is 25
age of Meera M is 15
sum of their ages will be 40

Like? Yes (2) | No   

sagar arora   11 years AGO

Let ram's and meera,s present age be R and M
(R-5)=2(M-5)
(R+5)=1.5(M+5)
solving these eqs we get meera.s age 15 and ram,s age 25
so 40 is the ans

Like? Yes (3) | No (2)  

Muhammad Ahmed   11 years AGO

Ram is 25 years old and Meera is 15 years old

Like? Yes (1) | No (1)  

jagannathan   11 years AGO

2x-3.5y=-2.5
x-2y=-5
on solving
x=25
y=15

Like? Yes (1) | No (1)  

Asloob Sabir   11 years AGO

Ram's age is 25, and Meera's is 15.

Like? Yes (1) | No (2)  

P M Anoop Sabir   11 years AGO

2y-10=4x-20
2y+10=3x+15
20=-x+35
x=15
y=25

Like? Yes (1) | No (2)  

swapnil gavtade   11 years AGO

ram age 25 & meera 15 before 5year their ages 20,10 & after 5 year 30,20

Like? Yes (1) | No (2)