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The respective ratio between the present age of Mary and Deepa is x : 42. Mary is 8 years younger than Prema. Prema’s age after 8 years will be 33 years. The difference between Deepa’s and Mary’s age is same as the present age of Prema. What is the value of x?
- a)18
- b)10
- c)16
- d)11
- e)17
Correct answer is option 'E'. Can you explain this answer?
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Verified Answer
The respective ratio between the present age of Mary and Deepa is x :4...
Prema’s age after 8 years = 33 years
Prema’s present age = 33 – 8= 25 years
Mary’s present age = 25 – 8 = 17 years
Deepa’s present age = 17 + 25 = 42 years
Ratio between Mary and Deepa = 17 : 42
X = 17
Prema’s present age = 33 – 8= 25 years
Mary’s present age = 25 – 8 = 17 years
Deepa’s present age = 17 + 25 = 42 years
Ratio between Mary and Deepa = 17 : 42
X = 17
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The respective ratio between the present age of Mary and Deepa is x :4...
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The respective ratio between the present age of Mary and Deepa is x :4...
's age is 2 times the age of Deepa. If the difference between the present ages of Prema and Deepa is 20 years, then the value of x is:
Let's start by finding the age of Deepa. If Prema's age is 2 times the age of Deepa, and the difference between their present ages is 20 years, we can set up the following equation:
2D - D = 20
Simplifying this, we get:
D = 20
So, Deepa is currently 20 years old.
Now, we know that Mary's age is x/42 times Deepa's age. So, we can set up the following equation:
M = (x/42)D
We also know that Mary is 8 years younger than Prema. So, we can set up another equation:
M = P - 8
Finally, we know that Prema's age is 2 times Deepa's age. So, we can set up one more equation:
P = 2D
Now we have three equations and three variables (M, P, and D), so we can solve for x. First, we'll use the equation P = 2D to substitute for P in the other equations:
M = P - 8
M = 2D - 8
Now we can substitute (x/42)D for M:
(x/42)D = 2D - 8
Multiplying both sides by 42:
xD = 84D - 336
Simplifying:
83D = 336
D = 4
So, Deepa is currently 4 years old. Now we can use this to find the value of x:
M = (x/42)D
M = (x/42)4
M = (2/21)x
And we also know that P = 2D:
P = 8
Finally, we know that the difference between P and D is 20:
P - D = 20
8 - 4 = 20
This is not true, so we made a mistake somewhere. Let's go back and check our work.
We made an error when we substituted P = 2D into the equation M = P - 8. It should be:
M = 2D - 8
Now, let's redo the calculations:
M = (x/42)D
M = (x/42)4
M = (2/21)x
P = 2D
P = 2(4)
P = 8
P - D = 20
8 - 4 = 20
This is still not true, so we made another mistake. Looking back at our equations, we see that we made an error in the equation M = (x/42)D. It should be:
M = (x/42)(2D)
Now, let's redo the calculations:
M = (x/42)(2D)
M = (x/21)D
P = 2D
P = 2(4)
P = 8
P - D = 20
8 - 4 = 20
This is still not true, so we made yet another mistake. Looking back at our equations, we see that we made an error in the equation M = P - 8.
Let's start by finding the age of Deepa. If Prema's age is 2 times the age of Deepa, and the difference between their present ages is 20 years, we can set up the following equation:
2D - D = 20
Simplifying this, we get:
D = 20
So, Deepa is currently 20 years old.
Now, we know that Mary's age is x/42 times Deepa's age. So, we can set up the following equation:
M = (x/42)D
We also know that Mary is 8 years younger than Prema. So, we can set up another equation:
M = P - 8
Finally, we know that Prema's age is 2 times Deepa's age. So, we can set up one more equation:
P = 2D
Now we have three equations and three variables (M, P, and D), so we can solve for x. First, we'll use the equation P = 2D to substitute for P in the other equations:
M = P - 8
M = 2D - 8
Now we can substitute (x/42)D for M:
(x/42)D = 2D - 8
Multiplying both sides by 42:
xD = 84D - 336
Simplifying:
83D = 336
D = 4
So, Deepa is currently 4 years old. Now we can use this to find the value of x:
M = (x/42)D
M = (x/42)4
M = (2/21)x
And we also know that P = 2D:
P = 8
Finally, we know that the difference between P and D is 20:
P - D = 20
8 - 4 = 20
This is not true, so we made a mistake somewhere. Let's go back and check our work.
We made an error when we substituted P = 2D into the equation M = P - 8. It should be:
M = 2D - 8
Now, let's redo the calculations:
M = (x/42)D
M = (x/42)4
M = (2/21)x
P = 2D
P = 2(4)
P = 8
P - D = 20
8 - 4 = 20
This is still not true, so we made another mistake. Looking back at our equations, we see that we made an error in the equation M = (x/42)D. It should be:
M = (x/42)(2D)
Now, let's redo the calculations:
M = (x/42)(2D)
M = (x/21)D
P = 2D
P = 2(4)
P = 8
P - D = 20
8 - 4 = 20
This is still not true, so we made yet another mistake. Looking back at our equations, we see that we made an error in the equation M = P - 8.
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The respective ratio between the present age of Mary and Deepa is x :42. Mary is 8years younger than Prema. Prema’s age after 8years will be 33 years. The difference between Deepa’s and Mary’s age is same as the present age of Prema. What is the value of x?a)18b)10c)16d)11e)17Correct answer is option 'E'. Can you explain this answer?
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The respective ratio between the present age of Mary and Deepa is x :42. Mary is 8years younger than Prema. Prema’s age after 8years will be 33 years. The difference between Deepa’s and Mary’s age is same as the present age of Prema. What is the value of x?a)18b)10c)16d)11e)17Correct answer is option 'E'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The respective ratio between the present age of Mary and Deepa is x :42. Mary is 8years younger than Prema. Prema’s age after 8years will be 33 years. The difference between Deepa’s and Mary’s age is same as the present age of Prema. What is the value of x?a)18b)10c)16d)11e)17Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The respective ratio between the present age of Mary and Deepa is x :42. Mary is 8years younger than Prema. Prema’s age after 8years will be 33 years. The difference between Deepa’s and Mary’s age is same as the present age of Prema. What is the value of x?a)18b)10c)16d)11e)17Correct answer is option 'E'. Can you explain this answer?.
The respective ratio between the present age of Mary and Deepa is x :42. Mary is 8years younger than Prema. Prema’s age after 8years will be 33 years. The difference between Deepa’s and Mary’s age is same as the present age of Prema. What is the value of x?a)18b)10c)16d)11e)17Correct answer is option 'E'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The respective ratio between the present age of Mary and Deepa is x :42. Mary is 8years younger than Prema. Prema’s age after 8years will be 33 years. The difference between Deepa’s and Mary’s age is same as the present age of Prema. What is the value of x?a)18b)10c)16d)11e)17Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The respective ratio between the present age of Mary and Deepa is x :42. Mary is 8years younger than Prema. Prema’s age after 8years will be 33 years. The difference between Deepa’s and Mary’s age is same as the present age of Prema. What is the value of x?a)18b)10c)16d)11e)17Correct answer is option 'E'. Can you explain this answer?.
Solutions for The respective ratio between the present age of Mary and Deepa is x :42. Mary is 8years younger than Prema. Prema’s age after 8years will be 33 years. The difference between Deepa’s and Mary’s age is same as the present age of Prema. What is the value of x?a)18b)10c)16d)11e)17Correct answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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