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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?
- a)1 year
- b)2 years
- c)25 years
- d)Data inadequate
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Q is as much younger than R as he is older than T. If the sum of the a...
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.
Most Upvoted Answer
Q is as much younger than R as he is older than T. If the sum of the a...
Given Information:
- Q is as much younger than R as he is older than T.
- The sum of the ages of R and T is 50 years.
To find:
- The definite difference between R and Q's age.
Let's assume Q's age as x years.
According to the given information, the age difference between Q and R is the same as the age difference between Q and T.
Age difference between Q and R: x - T
Age difference between Q and T: R - x
According to the given information, the sum of R and T's ages is 50 years.
Therefore, we can write the equation:
R + T = 50
Solving the Equations:
From the equation R + T = 50, we can express T in terms of R:
T = 50 - R
Substituting the value of T in the equation R - x = x - T, we get:
R - x = x - (50 - R)
R - x = x + R - 50
2R - 50 = 2x
2R = 2x + 50
R = x + 25
The difference between R and Q's age is given by:
Difference = R - Q
Substituting the values of R and Q, we get:
Difference = (x + 25) - x
Difference = 25
Therefore, the definite difference between R and Q's age is 25 years.
- Q is as much younger than R as he is older than T.
- The sum of the ages of R and T is 50 years.
To find:
- The definite difference between R and Q's age.
Let's assume Q's age as x years.
According to the given information, the age difference between Q and R is the same as the age difference between Q and T.
Age difference between Q and R: x - T
Age difference between Q and T: R - x
According to the given information, the sum of R and T's ages is 50 years.
Therefore, we can write the equation:
R + T = 50
Solving the Equations:
From the equation R + T = 50, we can express T in terms of R:
T = 50 - R
Substituting the value of T in the equation R - x = x - T, we get:
R - x = x - (50 - R)
R - x = x + R - 50
2R - 50 = 2x
2R = 2x + 50
R = x + 25
The difference between R and Q's age is given by:
Difference = R - Q
Substituting the values of R and Q, we get:
Difference = (x + 25) - x
Difference = 25
Therefore, the definite difference between R and Q's age is 25 years.
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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?a)1 yearb)2 yearsc)25 yearsd)Data inadequatee)None of theseCorrect answer is option 'D'. Can you explain this answer?
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