The sum of the ages of Anup and his father is 100. When Anup will be as old as his father now, Anup

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23 Oct 2012 age

The sum of the ages of Anup and his father is 100. When Anup will be as old as his father now, Anup will be 5 times as old as his son Anuj is now. Anuj will be eight years older than Anup is now, when Anup is as old as his father is now. What are their ages now ?

OPtion

1) 12, 32, 68
2) 12, 34, 66
3) 13, 35, 65
4) 17, 34, 66
5) 16, 38, 62
6) 20, 33, 67
7) 18, 36, 64
8) 12, 30, 70
9) 13, 31, 69
10) none of these

Solution

according to the given conditions
let age of Anup is a and that of father is (100-a)
according to the first condition
100-a = 5b
and on the basis of second condition [a-b]+8 = [(100-a)-a]
so b = 13 and a = 35
so answer is 13, 35, 65

Correct Option: 3 Best Solution (9)

ravi kumar jain   11 years AGO

Let age of Anup is x yrs

thus, Father's age= (100-x)

Anuj's age = (100-x)/5

Eq. 1 (Translating 2nd last line#)

(100-x)-x+(100-x)/5=x+8

600-11x=5x+40

16x=540

x =35 yrs

age of Anup is 35 yrs

age of Anuj is 13yrs

age of Anup's father is 65yrs

Like? Yes (60) | No (22)  

alluri udaykumar   11 years AGO

Here is the answer to your question:
Let the present ages (in years) of Anup’s father, Anup and Anuj be x, (100 – x) and y respectively.
Difference between Anup’s father and Anup’s ages (in years) = x – (100 – x) = x – 100 + x = 2x – 100
2x – 100 years later, Anup will be x years old and 5 times old as Anuj is now.

Like? Yes (25) | No (11)  

Dr.Dipin Singh   11 years AGO

3) 13, 35, 65
The sum of the ages of Anup (35) and his father(65) is 100. When Anup will be (65)as old as his father now, Anup will be 5 times (13) as old as his son Anuj is now. Anuj will be (43) eight years older than (35) Anup is now, when Anup is (65)as old as his father is now.

Like? Yes (23) | No (10)  

Balakumaran N.A   11 years AGO

Let the present ages (in years) of Anup’s father, Anup and Anuj be x, (100 – x) and respectively.
Difference between Anup’s father and Anup’s ages (in years) = x – (100 – x) = x – 100 + x = 2x –
100
2x – 100 years later, Anup will be x years old and 5 times old as Anuj is now.
X = 5y
y = x/5 -----------(i)
When Anup is x yr old,then Anuj will be y +(2x-100)yrs old and 8yrs older than Anup is now
Therefore y + (2x-100) = (100 – x ) + 8 -------------(ii)
On putting y = x/5 from (i) we get
X = 65 yrs
So Anup’s fathers age = 65 yrs, Anup’s age = 100-65 = 35 yrs , Anuj ages = x/5 = 65/5
= 13 yrs

Like? Yes (14) | No (4)  

Vedsar Kushwaha   11 years AGO

suppose fa, an and as denotes father's age,anup's age and anuj's age. Then according to the question, we have

an + fa =100
an+(fa-an)=5(as)
as+(fa-an)=an+8

solving these three equations, we get
fa=65
an=35 and
as=13

Like? Yes (8) | No (2)  

Yash Khatri   11 years AGO

If we take option 3, Anup's father is 65 and Anup is 35. When Anup is 65 his son is 13. 13*5 =65
Therefore Anup is five times his son's age. The correct option is 3.

Like? Yes (5) | No (2)  

Devendra Marghade   11 years AGO

Present ages of Anuj=13, Anup=35 & Father=65
Anup will be of 65 years after 30 years
So he will be 5 times as old as Anuj's present age
ans Anuj's age will be 13+30=43 years, which is 8 years more than Anup's present age(35)

Like? Yes (4) | No (1)  

susmit   11 years AGO

65=13*5 : 5 times
35+30=65 : 65-34=30
13+30=43 : 30 years hence
35+8=43 : 8 years older than his father now
65+35=100: Sum of the ages is 100

Like? Yes (6) | No (3)  

Vikrant Varshney   11 years AGO

let anuj=an anup=a father=f
then ATQ,
a+f=100
f=5an
an+(f-a)=a+8
on solving equations, we get
an=12 a=35 f=65

Like? Yes (4) | No (6)