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A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52 kg. If the weight of the father is 60 kg, then what is the weight of the mother?
- a)48 kg
- b)50 kg
- c)52 kg
- d)54 kg
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A family has two children along with their parents. The average of the...
We know that – Average x Number of people = Total.
Average of weight of two children and their mother (i.e. total 3 members) = 50. So, the sum of the weight of two children and mother = C1 + C2 + M = 50 × 3 = 150 ... (1) (where C1 and C2 are the weights of two children and M is the weight of the Mother)
Again if the weight of the Father is F, we have C1 + C2 + F = 52 × 3 = 156 ... (2)
Now it is given that the weight of the father = F = 60.
By putting this value in equation (2), we have C1 + C2 = 156 - 60 = 96.
Again by using equation (1) we have M = 150 - 96 = 54 kg.
(If you do not want to solve this way, you can always reverse check using options also, in such questions. Since option (4) was correct, you will need to check 3 options at least).
Most Upvoted Answer
A family has two children along with their parents. The average of the...
Average = children +father/3
52 = children +60/3
52*3= children+6
156-60= children
children=96 kg
96+mother/3= 50
96+ mother =150
mother = 150-96
mother = 54 kg
52 = children +60/3
52*3= children+6
156-60= children
children=96 kg
96+mother/3= 50
96+ mother =150
mother = 150-96
mother = 54 kg
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Community Answer
A family has two children along with their parents. The average of the...
Given:
- A family has two children along with their parents.
- Average weight of the children and their mother is 50 kg.
- Average weight of the children and their father is 52 kg.
- Weight of the father is 60 kg.
To find:
- Weight of the mother.
Solution:
Let's assume the weight of the mother as M and the weight of the two children as C1 and C2.
1. Average weight of the children and their mother is 50 kg:
- (C1 + C2 + M) / 3 = 50 kg
- C1 + C2 + M = 150 kg
2. Average weight of the children and their father is 52 kg:
- (C1 + C2 + 60) / 3 = 52 kg
- C1 + C2 + 60 = 156 kg
Now, let's solve the above two equations simultaneously to find the values of C1, C2, and M.
Subtracting equation 1 from equation 2:
(C1 + C2 + 60) - (C1 + C2 + M) = 156 - 150
C1 + C2 + 60 - C1 - C2 - M = 6
60 - M = 6
-M = 6 - 60
-M = -54
M = 54 kg
Therefore, the weight of the mother is 54 kg.
Hence, the correct answer is option D) 54 kg.
- A family has two children along with their parents.
- Average weight of the children and their mother is 50 kg.
- Average weight of the children and their father is 52 kg.
- Weight of the father is 60 kg.
To find:
- Weight of the mother.
Solution:
Let's assume the weight of the mother as M and the weight of the two children as C1 and C2.
1. Average weight of the children and their mother is 50 kg:
- (C1 + C2 + M) / 3 = 50 kg
- C1 + C2 + M = 150 kg
2. Average weight of the children and their father is 52 kg:
- (C1 + C2 + 60) / 3 = 52 kg
- C1 + C2 + 60 = 156 kg
Now, let's solve the above two equations simultaneously to find the values of C1, C2, and M.
Subtracting equation 1 from equation 2:
(C1 + C2 + 60) - (C1 + C2 + M) = 156 - 150
C1 + C2 + 60 - C1 - C2 - M = 6
60 - M = 6
-M = 6 - 60
-M = -54
M = 54 kg
Therefore, the weight of the mother is 54 kg.
Hence, the correct answer is option D) 54 kg.
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A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52 kg. If the weight of the father is 60 kg, then what is the weight of the mother?a)48 kgb)50 kgc)52 kgd)54 kgCorrect answer is option 'D'. Can you explain this answer?
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A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52 kg. If the weight of the father is 60 kg, then what is the weight of the mother?a)48 kgb)50 kgc)52 kgd)54 kgCorrect answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52 kg. If the weight of the father is 60 kg, then what is the weight of the mother?a)48 kgb)50 kgc)52 kgd)54 kgCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52 kg. If the weight of the father is 60 kg, then what is the weight of the mother?a)48 kgb)50 kgc)52 kgd)54 kgCorrect answer is option 'D'. Can you explain this answer?.
A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52 kg. If the weight of the father is 60 kg, then what is the weight of the mother?a)48 kgb)50 kgc)52 kgd)54 kgCorrect answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52 kg. If the weight of the father is 60 kg, then what is the weight of the mother?a)48 kgb)50 kgc)52 kgd)54 kgCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52 kg. If the weight of the father is 60 kg, then what is the weight of the mother?a)48 kgb)50 kgc)52 kgd)54 kgCorrect answer is option 'D'. Can you explain this answer?.
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A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52 kg. If the weight of the father is 60 kg, then what is the weight of the mother?a)48 kgb)50 kgc)52 kgd)54 kgCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52 kg. If the weight of the father is 60 kg, then what is the weight of the mother?a)48 kgb)50 kgc)52 kgd)54 kgCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52 kg. If the weight of the father is 60 kg, then what is the weight of the mother?a)48 kgb)50 kgc)52 kgd)54 kgCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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