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 4 of 6.
Rohit Bansal said:
1 decade ago
T = x-y.
Q = x.
R = x+y.
Hence R+T = 50, Q = 25 if Q = 25 then R = 27 and T = 23 because sum of R+T = 50 and condition of R and T as comparison Q
Hence answer is 2 years.
Q = x.
R = x+y.
Hence R+T = 50, Q = 25 if Q = 25 then R = 27 and T = 23 because sum of R+T = 50 and condition of R and T as comparison Q
Hence answer is 2 years.
Nitin k said:
1 decade ago
If the diff between ages is same then it has to be
T<Q<R : 24<25<26.
and sum of T & R is 50 as per the data so the difference is 1.
option A is right.
T<Q<R : 24<25<26.
and sum of T & R is 50 as per the data so the difference is 1.
option A is right.
Mubarak said:
8 years ago
It's given that Q is as much younger than R as he is older than T.
so if is 15 then Q-T = 10;
Q+10 =35 =R.
its given that R+T =50 ==> 35+15 = 50.
so R-Q = 35-25 = 10.
so if is 15 then Q-T = 10;
Q+10 =35 =R.
its given that R+T =50 ==> 35+15 = 50.
so R-Q = 35-25 = 10.
Shubham said:
5 years ago
Let's say Q = R - x.
So Q=T + x.
Adding these 2 we will get;
2Q = R + T.
So 2Q = 50,
And Q = 25.
We can find R =27 by substituting Q and difference is 2 years.
So Q=T + x.
Adding these 2 we will get;
2Q = R + T.
So 2Q = 50,
And Q = 25.
We can find R =27 by substituting Q and difference is 2 years.
Abc said:
1 decade ago
Given,
R+T = 50 --(1).
R-Q = Q-T --(2).
T<Q<R.
Let us assume ages be 24, 25, 26
==> (2) 26-25 = 25-24.
(1) 26+24 = 50.
Hence option A.
R+T = 50 --(1).
R-Q = Q-T --(2).
T<Q<R.
Let us assume ages be 24, 25, 26
==> (2) 26-25 = 25-24.
(1) 26+24 = 50.
Hence option A.
Yashas said:
4 years ago
Q-x = R
R + x = T ---> (i)
R + T = 50
R + R + x = 50 --> from(i)
2R + x = 50.
Therefore the age of R is not given hence option E.
R + x = T ---> (i)
R + T = 50
R + R + x = 50 --> from(i)
2R + x = 50.
Therefore the age of R is not given hence option E.
(1)
Parveen dhawan said:
1 decade ago
R+T = 50.
T = 50-R.....(1)
R-Q = Q-T given.
R+T = 2Q.
Substituting the value of T from eq.1,
R+(50-R) = 2Q.
2Q = 50.
Q = 25.
T = 50-R.....(1)
R-Q = Q-T given.
R+T = 2Q.
Substituting the value of T from eq.1,
R+(50-R) = 2Q.
2Q = 50.
Q = 25.
Pritiparna said:
9 years ago
Ans.
R = 1
Q = 25
T = 49.
(the difference between the ages of these three is 24, and the sum of the ages of R and T is 50)
R = 1
Q = 25
T = 49.
(the difference between the ages of these three is 24, and the sum of the ages of R and T is 50)
Yogi said:
1 decade ago
Guys there are so many answers which can be true but we can't determine the exact answer. So answer is (D) data inadequate.
Shweta S said:
1 decade ago
It cant be E coz they just mentioned younger and older not the figure like 3 year or 2 years younger... So it cant be E
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