669.The present average age of a couple and their daughter is 35 years. Fifteen years from now, the age of the mother will be equal to the sum of present ages of the father and the daughter. Find the present age of mother?
43 years
40 years
48 years
45 years
Explanation:
let the sum of the daughter's and the father's age be 'x'
let the mother's age be 'y'
therefore their average age = x+y= 35
therefore, x + y= 105 ----(1)
now, 15+y=x
therefore x-y = 15-----------(2)
adding 2 and 1 we get
so, x+y=105
x-y =15
__________________
2x=120
therefore x=60
putting x=60 in equation (1)when we get,
y=105-60
y=45
so the Ans is 45
let the mother's age be 'y'
therefore their average age = x+y= 35
therefore, x + y= 105 ----(1)
now, 15+y=x
therefore x-y = 15-----------(2)
adding 2 and 1 we get
so, x+y=105
x-y =15
__________________
2x=120
therefore x=60
putting x=60 in equation (1)when we get,
y=105-60
y=45
so the Ans is 45
1221.Four years ago, the average age of A and B was 18 years. At present the average age of A, B and C is 24 years. What would be the age of C after 8 years?
36 years
32 years
28 years
25 years
Explanation:
Sum of the present ages of A and B
= (18 × 2 + 4 × 2) years
= 44 years
Sum of the present ages of A, B and C
= (24 × 3) years
= 72 years
C's present age
= (72 - 44) years
= 28 years
∴ C's age after 8 years
= (28 + 8) years
= 36 years
= (18 × 2 + 4 × 2) years
= 44 years
Sum of the present ages of A, B and C
= (24 × 3) years
= 72 years
C's present age
= (72 - 44) years
= 28 years
∴ C's age after 8 years
= (28 + 8) years
= 36 years
1293.The total age of A and B is
12
years more than the total age of B and C. C is younger than A by:
11 years
13 years
10
12
Explanation:
Total age of A and B is 12 years more than total age of B and C.
Since B is common in both sides, we can rephrase the statement as
"age of A is 12 years more than age of C".
That is, C is 12 years younger than A.
Since B is common in both sides, we can rephrase the statement as
"age of A is 12 years more than age of C".
That is, C is 12 years younger than A.
1294.Raju is as much younger than Sonu as he is older than Tanu. If the sum of the ages of Sonu and Tanu is 50 years, what is definitely the difference between Sonu and Raju's age?
13
15
45
cannot be determined
Explanation:
Let,
Raju =Q
Sonu =R
Tanu =T
Given that:
1. The difference of age b/w R and Q = The difference of age b/w Q and T.
2. Sum of age of R and T is 50 i.e. (R + T) = 50.
Question: R - Q = ?.
Explanation:
R - Q = Q - T
(R + T) = 2Q
Now given that, (R + T) = 50
So, 50 = 2Q and therefore Q = 25.
Question is (R - Q) = ?
Here we know the value(age) of Q (25), but we don't know the age of R.
Therefore, (R-Q) cannot be determined.
Raju =Q
Sonu =R
Tanu =T
Given that:
1. The difference of age b/w R and Q = The difference of age b/w Q and T.
2. Sum of age of R and T is 50 i.e. (R + T) = 50.
Question: R - Q = ?.
Explanation:
R - Q = Q - T
(R + T) = 2Q
Now given that, (R + T) = 50
So, 50 = 2Q and therefore Q = 25.
Question is (R - Q) = ?
Here we know the value(age) of Q (25), but we don't know the age of R.
Therefore, (R-Q) cannot be determined.
1295.Soniya got married 7 years ago. Her present age is 6/5 times her age at the time of marriage. Her brother was 5 years younger to her at the time of marriage. What is the age of her brother at present?
Cant be determined
55
35
36
1296.Mother is aged 3 times more than her son Sanjay. After 12 years she would be 2 and a half times of Sanjays age. After further 12 years how many times would she be Sanjays age?
37
38
1
2
1297.A mother said to her son, “I was as old as you are at present at the time of your birth.” If the mothers age is 36 years now the sons age 6 years back will be how many years?
12
4
11.5
12.5
Explanation:
Let, the mother's present age be M and his son's present age be S.
Given, when his son was born, she was the same age as her son. Now since the son's age is S, he would be born S years ago.
Hence, mother's age S years ago = M - S.
But her, age was same as the present age of son.
→ M - S = S
→ M = 2S
Now, we know her present age is 36. So,
36 = 2S
→ S = 36/2
→ S = 18 years.
Son's present age is 18 years. Hence, his age 6 years back would be 12 years.
Given, when his son was born, she was the same age as her son. Now since the son's age is S, he would be born S years ago.
Hence, mother's age S years ago = M - S.
But her, age was same as the present age of son.
→ M - S = S
→ M = 2S
Now, we know her present age is 36. So,
36 = 2S
→ S = 36/2
→ S = 18 years.
Son's present age is 18 years. Hence, his age 6 years back would be 12 years.
1298.The age of Rajeev is 1/6th of his mothers present age. Rajeevs mother age will be twice of his sister Kamalas age after 10 years. If Kamalas 8th birthday was celebrated two years before, then what is Rajeevs present age?
13.5
14.5
5
4
Explanation:
Let the present age of father be a
Present age of Rajeev= a/6
According to first condition,
( a + 10) = 2 ( Kamal's present age + 10)
=> (a + 10) /2 - 10 = Kamal's present age
=> Kamal's present age = ( a + 10 - 20) / 2
=> Kamal's present age = ( a - 10) /2
Now,
According to second condition,
( a - 10)/2 - 2 = 8
=> ( a - 10 - 4) / 2 = 8
=> a - 14 = 16
=> a = 30
Rajeev's present age = 30 /6 = 5 years
Present age of Rajeev= a/6
According to first condition,
( a + 10) = 2 ( Kamal's present age + 10)
=> (a + 10) /2 - 10 = Kamal's present age
=> Kamal's present age = ( a + 10 - 20) / 2
=> Kamal's present age = ( a - 10) /2
Now,
According to second condition,
( a - 10)/2 - 2 = 8
=> ( a - 10 - 4) / 2 = 8
=> a - 14 = 16
=> a = 30
Rajeev's present age = 30 /6 = 5 years
1299.Sindus was asked about her age in years. Her reply was, “Take my age 3 years hence, multiply it by 3 and then minus 3 times. Here age of mine 3 years ago and you will come to know how old I am”. What was the age of Sindhu?
12
9
12
18
Explanation:
Lets assume her current age is ‘x’.
Her age 3 years from now: (x+3)
Her age 3 years earlier: (x-3).
As per what is stated, her current age is - 3(x+3) - 3(x-3)
Therefore, solve x= 3x + 9 - 3x + 9
The answer is x = 18
Her age 3 years from now: (x+3)
Her age 3 years earlier: (x-3).
As per what is stated, her current age is - 3(x+3) - 3(x-3)
Therefore, solve x= 3x + 9 - 3x + 9
The answer is x = 18
1300.If Priya was 1/3rd as old as Peter 5 years back and Priya is 17 years old now, How old is Peter now?
19
20
41
51
Explanation:
Priya’s age today = 17 years
Hence, 5 years back, he must be 12 years old.
Peter must be 36 years old, Because (3×12).
5 years back Peter must be 41 years old today. Because (36+5)=41
Hence, 5 years back, he must be 12 years old.
Peter must be 36 years old, Because (3×12).
5 years back Peter must be 41 years old today. Because (36+5)=41