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Sum of present ages of A and B is 47 years. After 5 years, there ages will be in ratio 8 : 11. What is the present age (in years) of A?
- a)19
- b)20
- c)24
- d)25
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Sum of present ages of A and B is 47 years. After 5 years, there ages ...
Let x years be the present age of A & y years be the present age of B.
Sum of present ages = 47 → x + y = 47 …. Equation (1)
Then, After 5 years
Age of A = x + 5
Age of B = y + 5
Ratio=x + 5/y + 5= 8/11
By solving it we get:
11x - 8y = -15 …… Equation (2)
By solving equation (1) and equation second we get:
x = 19 & y = 28.
Hence, the present age of A is 19 years.
Sum of present ages = 47 → x + y = 47 …. Equation (1)
Then, After 5 years
Age of A = x + 5
Age of B = y + 5
Ratio=x + 5/y + 5= 8/11
By solving it we get:
11x - 8y = -15 …… Equation (2)
By solving equation (1) and equation second we get:
x = 19 & y = 28.
Hence, the present age of A is 19 years.
Most Upvoted Answer
Sum of present ages of A and B is 47 years. After 5 years, there ages ...
Prompt:
Sum of present ages of A and B is 47 years. After 5 years, their ages will be in the ratio 8:11. Find the present age of A.
Answer:
Let's assume the present age of A to be 'x' years.
Therefore, the present age of B will be (47 - x) years, as the sum of their present ages is 47 years.
Age after 5 years:
After 5 years, the age of A will be (x + 5) years.
After 5 years, the age of B will be ((47 - x) + 5) years = (52 - x) years.
Ratio of their ages after 5 years:
According to the given information, the ratio of their ages after 5 years is 8:11.
Therefore, we can write the equation:
(x + 5)/(52 - x) = 8/11
Solving the equation:
To solve the above equation, we can cross-multiply:
11(x + 5) = 8(52 - x)
11x + 55 = 416 - 8x
11x + 8x = 416 - 55
19x = 361
x = 361/19
x = 19
Conclusion:
The present age of A is 19 years. Therefore, option 'A' is the correct answer.
Sum of present ages of A and B is 47 years. After 5 years, their ages will be in the ratio 8:11. Find the present age of A.
Answer:
Let's assume the present age of A to be 'x' years.
Therefore, the present age of B will be (47 - x) years, as the sum of their present ages is 47 years.
Age after 5 years:
After 5 years, the age of A will be (x + 5) years.
After 5 years, the age of B will be ((47 - x) + 5) years = (52 - x) years.
Ratio of their ages after 5 years:
According to the given information, the ratio of their ages after 5 years is 8:11.
Therefore, we can write the equation:
(x + 5)/(52 - x) = 8/11
Solving the equation:
To solve the above equation, we can cross-multiply:
11(x + 5) = 8(52 - x)
11x + 55 = 416 - 8x
11x + 8x = 416 - 55
19x = 361
x = 361/19
x = 19
Conclusion:
The present age of A is 19 years. Therefore, option 'A' is the correct answer.
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Sum of present ages of A and B is 47 years. After 5 years, there ages will be in ratio 8 : 11. What is the present age (in years) of A?a)19b)20c)24d)25Correct answer is option 'A'. Can you explain this answer?
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