1301.12 years from now Tanu will be twice as old as Manu. The current sum of the ages of Tanu and Manu is 57. How old is Manu right now?
42
43
15
18
1302.The age of a person is thrice the total ages of his 2 daughters. 0.5 decades hence, his age will be twice of the total ages of his daughters. Then what is the fathers current age?
[0.5 Decades = 5 Years]
[0.5 Decades = 5 Years]
45 years
25 years
35 years
38 years
Explanation:
Let, Total of current ages of the 2 daughters is A years.
Then, father’s current age = 3A years.
(3A + 5) = 2 (A +10)
3A + 5 = 2A + 20
A = 15
Therefore, father’s current age = 45 years.
Then, father’s current age = 3A years.
(3A + 5) = 2 (A +10)
3A + 5 = 2A + 20
A = 15
Therefore, father’s current age = 45 years.
1303.Sivagami is 2 years elder than Meena. After 6 years the total of their ages will be 7 times of their current age. Then age of Sivagami is :
5 years
4 years
2 Years
7 years
Explanation:
Suppose Sivagami present age as x
therefore Meena’s present age = x-2;
present total = x+x-2 = 2x-2
After 6 years,
Shivagami’s age =x+6
Meena’s age = x-2+6=x+4
sum = x+6+x+4 = 2x +10
According to question ,
2x+10 = 7(2x-2)
2x+10 = 14x-14
12x=24
x=2 age of Sivagami is 2
therefore Meena’s present age = x-2;
present total = x+x-2 = 2x-2
After 6 years,
Shivagami’s age =x+6
Meena’s age = x-2+6=x+4
sum = x+6+x+4 = 2x +10
According to question ,
2x+10 = 7(2x-2)
2x+10 = 14x-14
12x=24
x=2 age of Sivagami is 2
1304.Pandey got married 0.8 decades ago. His current age is (6/5) times his age at the time of his marriage. Pandeys brother was ten years younger to him at the time of his marriage. What is the age of Pandeys Brother?[0.8 decades = 8 years]
21 years
Data inadequate
38 years
39 years
Explanation:
Let Rajan’s present age be x years. Then, his age at the time of marriage = (x – 8) years
x = 6/5 (x - 8)
5x = 6x - 48
x = 48
Rajan’s sister’s age at the time of his marriage = (x – 8) – 10 = (x – 18) = 30 years.
Rajan's sister's present age = (30 + 8) years = 38 years
x = 6/5 (x - 8)
5x = 6x - 48
x = 48
Rajan’s sister’s age at the time of his marriage = (x – 8) – 10 = (x – 18) = 30 years.
Rajan's sister's present age = (30 + 8) years = 38 years
1305.The ages of a man and his son is in the ratio of 7: 2. After 15 years, they would be in the ratio of 2 : 1, what was father's age when son was born ?
25 years
58 years
20 years
22 years
Explanation:
Let father age is 7x
And son age is 2x
then after 15 year father age is 7x+15
After 15 year son age is 2x+15
⇒ $\dfrac{7x+15}{2x+15}=\dfrac{2}{1} $ ⇒4x+30=7x+15
⇒4x−7x=15−30
⇒−3x=−15⇒x=5
Hence father present age=7×5=35
Son present age=2×5=10
difference of father and son age=35−10=25
So father age was 25 years when son was born
And son age is 2x
then after 15 year father age is 7x+15
After 15 year son age is 2x+15
⇒ $\dfrac{7x+15}{2x+15}=\dfrac{2}{1} $ ⇒4x+30=7x+15
⇒4x−7x=15−30
⇒−3x=−15⇒x=5
Hence father present age=7×5=35
Son present age=2×5=10
difference of father and son age=35−10=25
So father age was 25 years when son was born
1306.Mother is aged thrice than her daughter Rani. After 8 years, he would be 2(1/2) times of Ranis age. After 8 years, how many times would she be of Ranis age?
18 times
16 times
2(1/2) times
2 times
Explanation:
Let Rani age is 'x' years.so his mother's age is 3x. after 8 years,
Therefore,Rani age is 'x+8' his mother's age is 2 and half times Rani age
so,3x+8=5/2(x+8)
..x=24 mother's age =3(24)=72
After 8 years Rani age=32 and mother's age is 80
again after 8 years Rani age=40 and mother's age is 88
Therefore mother's age is 2.2 times of Rani age.
Therefore,Rani age is 'x+8' his mother's age is 2 and half times Rani age
so,3x+8=5/2(x+8)
..x=24 mother's age =3(24)=72
After 8 years Rani age=32 and mother's age is 80
again after 8 years Rani age=40 and mother's age is 88
Therefore mother's age is 2.2 times of Rani age.
1307. The ages of Rahul and Karan are in the ratio 7:5. Ten years hence, the ratios of their ages will be 9:7. Find Rahul present age?
25 years
45 years
24 years
35 years
Explanation:
Let Rahul's and Karan's age be 7x and 5x respectively.
After 10 yrs, their ages are 7x + 10, 5x + 10 respectively.
As per the given condition, Ratio after 10 years is 9:7
So, $\dfrac{7x+10}{5x+10}=\dfrac{9}{7}$
Cross Multiplying, we get
7(7x + 10) = 9(5x + 10)
49x + 70 = 45x + 90
49x - 45x = 90 - 70
4x = 20
x = 5
Therefore,
Rahul's age = 7 × 5 = 35 years
After 10 yrs, their ages are 7x + 10, 5x + 10 respectively.
As per the given condition, Ratio after 10 years is 9:7
So, $\dfrac{7x+10}{5x+10}=\dfrac{9}{7}$
Cross Multiplying, we get
7(7x + 10) = 9(5x + 10)
49x + 70 = 45x + 90
49x - 45x = 90 - 70
4x = 20
x = 5
Therefore,
Rahul's age = 7 × 5 = 35 years
1308.A year ago the proportion between Sham and Amirs age was 4:3. 1 year hence the proportion of their ages will be 5:4. The total of their current ages is :
28
16
13
14
Explanation:
Let the present age of Sham be X.
Let the present age of Amir be Y.
=> Age of Sham one year back = X-1.
=> Age of Amir one year back = Y-1.
And, Age of Sham after one year = X+1.
And, Age of Amir after one year = Y+1.
Ratio of Sham's and Amir's ages one year back = 4:3.
=> X-1/Y-1 = 4/3
3X-3 = 4Y-4
3X-4Y= -1 -------------> 1
Ratio of Sham's and Amir's ages after one year = 5:4.
=> X+1/Y+1 = 5/4
4X+4 = 5Y+5
4X-5Y = 1 -----------------> 2
Solving 1 and 2, we get
X=9 and Y=7.
The sum of their ages is 16
Let the present age of Amir be Y.
=> Age of Sham one year back = X-1.
=> Age of Amir one year back = Y-1.
And, Age of Sham after one year = X+1.
And, Age of Amir after one year = Y+1.
Ratio of Sham's and Amir's ages one year back = 4:3.
=> X-1/Y-1 = 4/3
3X-3 = 4Y-4
3X-4Y= -1 -------------> 1
Ratio of Sham's and Amir's ages after one year = 5:4.
=> X+1/Y+1 = 5/4
4X+4 = 5Y+5
4X-5Y = 1 -----------------> 2
Solving 1 and 2, we get
X=9 and Y=7.
The sum of their ages is 16
1309.A mother said to her daughter, “I was as old as you are at now at the date of your birth.” If the mothers age is 38 years now, the daughters age 5 years back was?
16 years
None of these
14 years
19 years
Explanation:
Daughter’s current age = A
(38 – A) = A
2A = 38
A = 19 years
Daughter’s age Five years back = 19 – 5 = 14 years
(38 – A) = A
2A = 38
A = 19 years
Daughter’s age Five years back = 19 – 5 = 14 years
1310.Proportion of Yuvarajs age to Gangulys age is 4:3. Yuvaraj willl be 26 years old after 6 years. What is the age of Ganguly now?
23 years
29 years
17 years
15 years
Explanation:
Current ages of Yuvaraj = 4A and Ganguly = 3A
So that 4A + 6 = 26
A = 5
Current age of Ganguly = 3A
=> 3 x 5 = 15 years
So that 4A + 6 = 26
A = 5
Current age of Ganguly = 3A
=> 3 x 5 = 15 years