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 6 of 6.
Shilpa k r said:
1 decade ago
@Rohit bansal.
Even though the answer is correct ,,these are not the only values which satisfy the equation
as you have mentioned .
T = x-y.
Q = x.
R = x+y.
and T+R = 50.
x-y+x+y = 50.
2x = 50.
x = 25.
which makes Q as 25.
if y is 1 then T = 24 and R = 26.
if y is 2 then T = 23 and R = 27 and so on :).
Even though the answer is correct ,,these are not the only values which satisfy the equation
as you have mentioned .
T = x-y.
Q = x.
R = x+y.
and T+R = 50.
x-y+x+y = 50.
2x = 50.
x = 25.
which makes Q as 25.
if y is 1 then T = 24 and R = 26.
if y is 2 then T = 23 and R = 27 and so on :).
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.
Sudheer said:
1 decade ago
Can anyone explain why they took r-q = q-t? In the question they didn't gave as equal.
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.
Vicz said:
1 decade ago
Hello People,
We all Know that Q is 25.
The question to find out the "DEFINITE" difference between the age of R and T.
Given is that the difference between the ages of T and Q = R and Q.
The sum of ages of R and T = 50.
So if Q is 25 then.
T = Q - 1 hence R = Q + 1.
T = 25 - 1 hence R = 25 + 1.
T = 25 - 2 hence R = 25 + 2.
T = 25 - 3 hence R = 25 + 3.
T = 25 - 4 hence R = 25 + 4.
T = 25 - 5 hence R = 25 + 5.
T = 25 - 6 hence R = 25 + 6.
.
.
.
T = 25 - 24 hence R = 25 + 14.
Hence it will be impossible to "definitely" ascertain the ages of T and R.
Hence the option D) Data is inadequate.
We all Know that Q is 25.
The question to find out the "DEFINITE" difference between the age of R and T.
Given is that the difference between the ages of T and Q = R and Q.
The sum of ages of R and T = 50.
So if Q is 25 then.
T = Q - 1 hence R = Q + 1.
T = 25 - 1 hence R = 25 + 1.
T = 25 - 2 hence R = 25 + 2.
T = 25 - 3 hence R = 25 + 3.
T = 25 - 4 hence R = 25 + 4.
T = 25 - 5 hence R = 25 + 5.
T = 25 - 6 hence R = 25 + 6.
.
.
.
T = 25 - 24 hence R = 25 + 14.
Hence it will be impossible to "definitely" ascertain the ages of T and R.
Hence the option D) Data is inadequate.
Mounika said:
1 decade ago
The difference of age b/w R and Q = The difference of age b/w Q and T.
Where is this given in question?
Where is this given in question?
Rithu said:
9 years ago
Same doubt here.
Pinky said:
9 years ago
Let the age of 'Q' be x.
As R is older than Q we can assume 'R' be x+1.
And T is the same year younger than Q as R is older than Q, we assume 'R' is x-1.
The sum of R and T = 50 (given).
Then,
=> (x+1) + (x-1) = 50.
=> 2x = 50.
=> x = 25 years (age of Q).
Hence,
=> x+1 = 26 years.
=> x-1 = 24 years.
Difference between R and T is 2 years.
(Instead of what difference we can also take 2 years means (x+2) + (x-2) or any number like this.)
As R is older than Q we can assume 'R' be x+1.
And T is the same year younger than Q as R is older than Q, we assume 'R' is x-1.
The sum of R and T = 50 (given).
Then,
=> (x+1) + (x-1) = 50.
=> 2x = 50.
=> x = 25 years (age of Q).
Hence,
=> x+1 = 26 years.
=> x-1 = 24 years.
Difference between R and T is 2 years.
(Instead of what difference we can also take 2 years means (x+2) + (x-2) or any number like this.)
Purnendu Paul said:
9 years ago
Hello @Mounika.
Read the first sentence carefully, then you will get the concept clearly.
Read the first sentence carefully, then you will get the concept clearly.
Purnendu Paul said:
9 years ago
Answer is : A.
Since, Q is 25yrs. And in the question given that, the sum of R & T is 50yrs. and Q is as older as younger than T and R. So, taking 1 we can get T is(25 + 1) = 26yrs. and R is (25 - 1) = 24yrs. Where, 24 + 26 = 50yrs. ( i.e. R + T = 50yrs.).
There is no other number rather than 1 by which we can get 50, where Q is 25yrs.
Since, Q is 25yrs. And in the question given that, the sum of R & T is 50yrs. and Q is as older as younger than T and R. So, taking 1 we can get T is(25 + 1) = 26yrs. and R is (25 - 1) = 24yrs. Where, 24 + 26 = 50yrs. ( i.e. R + T = 50yrs.).
There is no other number rather than 1 by which we can get 50, where Q is 25yrs.
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