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The sum of ages of a mother and her daughter is 50 years. Also 5 years ago, the mother’s age was 7 times the age of the daughter. What are the present ages of the mother and the daughter?
- a)40 years , 10 years
- b)20 years , 10 years
- c)30 years , 15 years
- d)40 years , 15 years
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The sum of ages of a mother and her daughter is 50 years. Also 5 years...
Let the age of the daughter be x years.
Then, the age of the mother is (50 – x) years
5 years ago, 7(x – 5) = 50 – x – 5
or, 8x = 50 – 5 + 35 = 80
∴ x = 10
Therefore, daughter’s age = 10 years and mother’s age = 40 years.
Then, the age of the mother is (50 – x) years
5 years ago, 7(x – 5) = 50 – x – 5
or, 8x = 50 – 5 + 35 = 80
∴ x = 10
Therefore, daughter’s age = 10 years and mother’s age = 40 years.
Most Upvoted Answer
The sum of ages of a mother and her daughter is 50 years. Also 5 years...
Given Information:
- Sum of ages of mother and daughter is 50 years.
- 5 years ago, the mother's age was 7 times the age of the daughter.
Let's solve the problem step by step:
Step 1: Set up Equations
Let's represent the present age of the mother as M and the present age of the daughter as D. According to the given information, we can set up the following two equations:
1. M + D = 50 (Sum of ages)
2. M - 5 = 7(D - 5) (5 years ago, mother's age was 7 times the daughter's age)
Step 2: Solve the Equations
Now, we can solve the two equations simultaneously to find the present ages of the mother and the daughter.
From equation 1:
M = 50 - D
Substitute M in equation 2:
50 - D - 5 = 7(D - 5)
45 - D = 7D - 35
45 + 35 = 7D + D
80 = 8D
D = 10
Substitute D back into M = 50 - D:
M = 50 - 10
M = 40
Step 3: Final Answer
Therefore, the present age of the mother is 40 years and the present age of the daughter is 10 years. So, the correct answer is option 'A' - 40 years and 10 years.
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The sum of ages of a mother and her daughter is 50 years. Also 5 years ago, the mother’sage was 7 times the age of the daughter. What are the present ages of the mother and the daughter?a)40 years , 10 yearsb)20 years , 10 yearsc)30 years , 15 yearsd)40 years , 15 yearsCorrect answer is option 'A'. Can you explain this answer?
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The sum of ages of a mother and her daughter is 50 years. Also 5 years ago, the mother’sage was 7 times the age of the daughter. What are the present ages of the mother and the daughter?a)40 years , 10 yearsb)20 years , 10 yearsc)30 years , 15 yearsd)40 years , 15 yearsCorrect answer is option 'A'. Can you explain this answer? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about The sum of ages of a mother and her daughter is 50 years. Also 5 years ago, the mother’sage was 7 times the age of the daughter. What are the present ages of the mother and the daughter?a)40 years , 10 yearsb)20 years , 10 yearsc)30 years , 15 yearsd)40 years , 15 yearsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of ages of a mother and her daughter is 50 years. Also 5 years ago, the mother’sage was 7 times the age of the daughter. What are the present ages of the mother and the daughter?a)40 years , 10 yearsb)20 years , 10 yearsc)30 years , 15 yearsd)40 years , 15 yearsCorrect answer is option 'A'. Can you explain this answer?.
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