Aptitude - Problems on Ages - Discussion
Discussion Forum : Problems on Ages - General Questions (Q.No. 14)
14.
Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?
Answer: Option
Explanation:
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.
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.
Discussion:
60 comments Page 3 of 6.
Parmeshwar said:
1 decade ago
Hi @Red,
Can you check this explanation :
According to question.
R + T = 50.
And 2Q = R + T = 50.
Therefore, Q = 25.
Also we know :
T+x = Q and T + 2x(R) =50 (given).
or
T + x = 25(Q).
T + 2x = 50.
------------
- - -
--------------
so x= 25.
So R - Q = 25.
Same as what @Aditya got :).
Can you check this explanation :
According to question.
R + T = 50.
And 2Q = R + T = 50.
Therefore, Q = 25.
Also we know :
T+x = Q and T + 2x(R) =50 (given).
or
T + x = 25(Q).
T + 2x = 50.
------------
- - -
--------------
so x= 25.
So R - Q = 25.
Same as what @Aditya got :).
Laxman said:
1 decade ago
Hi friends,
I think answer should be "E" because in last position answer becomes Q=25 AND R+T=50. So, as difference between T,Q and Q,R are same , option may be and should be 25 years each of T and R. So, AS A RESULT difference between R and Q is 0. And answer should be NONE OF THESE.
I think answer should be "E" because in last position answer becomes Q=25 AND R+T=50. So, as difference between T,Q and Q,R are same , option may be and should be 25 years each of T and R. So, AS A RESULT difference between R and Q is 0. And answer should be NONE OF THESE.
Jabel said:
6 years ago
Given,
R+T = 50,
R - Q = Q -T.
Now,
2Q = R + T.
2Q = 50.
Q = 25.
Now we can have the following options:
R-Q-T
30-25-20
35-25-15
40-25-10
45-25-5
So the difference between R and Q is either 5, 10, 15, 20.
We can say that the data is not sufficient to claim the definite difference.
R+T = 50,
R - Q = Q -T.
Now,
2Q = R + T.
2Q = 50.
Q = 25.
Now we can have the following options:
R-Q-T
30-25-20
35-25-15
40-25-10
45-25-5
So the difference between R and Q is either 5, 10, 15, 20.
We can say that the data is not sufficient to claim the definite difference.
Saiful Islam said:
8 years ago
If I let T=x, also let, are will be 2 years older than T and Q will be x.
Also details:.
T=x.
R=x+2.
Q= x+2-2=x.
According to question,
X+2+x=50.
=> x = 24.
So, are is = 26.
Q= 24.
R-Q= 26-24= 2 Years.
Please tell me is it right or wrong.
Also details:.
T=x.
R=x+2.
Q= x+2-2=x.
According to question,
X+2+x=50.
=> x = 24.
So, are is = 26.
Q= 24.
R-Q= 26-24= 2 Years.
Please tell me is it right or wrong.
Manohar said:
8 years ago
Q is as much younger than R as he is older than T.
R-Q=Q+T
younger than is - and older than is+
so,
R-T=2Q ------> (1)
and given R+T=50 ------> (2)
SOLVE 1&2 Eqns, we get
2R=50+2Q
Therefore R-Q= 25.
Please tell me is it right or wrong.
R-Q=Q+T
younger than is - and older than is+
so,
R-T=2Q ------> (1)
and given R+T=50 ------> (2)
SOLVE 1&2 Eqns, we get
2R=50+2Q
Therefore R-Q= 25.
Please tell me is it right or wrong.
Hassan said:
1 decade ago
@Nitin.
Your wrong because the question just state that Q is as much younger than are as he is older than T, no more explanation to whether this youngness or oldness is by how many years. Thus why, option D is the right answer.
Your wrong because the question just state that Q is as much younger than are as he is older than T, no more explanation to whether this youngness or oldness is by how many years. Thus why, option D is the right answer.
SMRITHI said:
9 years ago
R-Q = Q+T;--------------------------GIVEN DATA
R+T = 50;----------------------------1
R-T = 2Q;----------------------------2
T = 50-R;
Substitute in 2.
R - (50 - R) = 2Q;
2R-2Q = 50;
R-Q = 25;
So, OPTION D.
R+T = 50;----------------------------1
R-T = 2Q;----------------------------2
T = 50-R;
Substitute in 2.
R - (50 - R) = 2Q;
2R-2Q = 50;
R-Q = 25;
So, OPTION D.
Aditia said:
1 decade ago
according to the question:
Q-T = R-Q.
2Q = R+T....(1).
Also we know that R-T= 50...(2).
Solving these equations, we get:
2R = 2Q+50.
2R-2Q = 50.
R-Q = 25.
So the correct answer should be 25.
Q-T = R-Q.
2Q = R+T....(1).
Also we know that R-T= 50...(2).
Solving these equations, we get:
2R = 2Q+50.
2R-2Q = 50.
R-Q = 25.
So the correct answer should be 25.
Rana Sultan said:
6 years ago
T < Q < R.
x 2x 3x.
Now,
R+T = 50,
3x + x = 50,
4x = 50,
x=12.5 ---> T
So, 2x = 25 ---> Q
And 3x =37.5 ---> R
R-Q = 37.5- 25 = 12.5 is the answer.
x 2x 3x.
Now,
R+T = 50,
3x + x = 50,
4x = 50,
x=12.5 ---> T
So, 2x = 25 ---> Q
And 3x =37.5 ---> R
R-Q = 37.5- 25 = 12.5 is the answer.
Ramnaresh said:
1 decade ago
Data inadequate is the answer because q=25.
We all knew but r+t=50.
So r may be 40 and t may be 10, r may be 35 and t may be 15.
We get answers so the answer will be D.
We all knew but r+t=50.
So r may be 40 and t may be 10, r may be 35 and t may be 15.
We get answers so the answer will be D.
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