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In a family the average age of the father and mother is 38 years, whereas the average age of father, mother and only daughter is 28 years. The age of daughters is
- a)5 years
- b)6 years
- c)8 years
- d)10 years
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a family the average age of the father and mother is 38 years, wher...
The correct option is C.
Let father's age be x, mother's age be y and daughter's age be z.
(x+y)/2 = 38
x+y = 76
(x+y+z)/3 = 28
(76+z)/3 = 28
76+z = 84
z = 8 years
Let father's age be x, mother's age be y and daughter's age be z.
(x+y)/2 = 38
x+y = 76
(x+y+z)/3 = 28
(76+z)/3 = 28
76+z = 84
z = 8 years
Most Upvoted Answer
In a family the average age of the father and mother is 38 years, wher...
Let father's age be f , mother's age be m and daughter's age be d.
(f+m)/2 = 38
f+m = 76
(f+m+d)/3 = 28
(76+d)/3 = 28
76+d = 84
d = 8 years
(f+m)/2 = 38
f+m = 76
(f+m+d)/3 = 28
(76+d)/3 = 28
76+d = 84
d = 8 years
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Community Answer
In a family the average age of the father and mother is 38 years, wher...
Given:
The average age of the father and mother is 38 years.
The average age of father, mother, and only daughter is 28 years.
To find:
The age of the daughter.
Solution:
Let the age of the daughter be x years.
Step 1: Determine the total age of the father and mother.
The average age of the father and mother is 38 years, so their total age is 2 * 38 = 76 years.
Step 2: Determine the total age of the father, mother, and daughter.
The average age of father, mother, and only daughter is 28 years, so their total age is 3 * 28 = 84 years.
Step 3: Calculate the age of the daughter.
The difference between the total age of the father, mother, and daughter and the total age of the father and mother gives us the age of the daughter.
84 - 76 = 8 years.
Therefore, the age of the daughter is 8 years. So, the correct answer is option 'C'.
The average age of the father and mother is 38 years.
The average age of father, mother, and only daughter is 28 years.
To find:
The age of the daughter.
Solution:
Let the age of the daughter be x years.
Step 1: Determine the total age of the father and mother.
The average age of the father and mother is 38 years, so their total age is 2 * 38 = 76 years.
Step 2: Determine the total age of the father, mother, and daughter.
The average age of father, mother, and only daughter is 28 years, so their total age is 3 * 28 = 84 years.
Step 3: Calculate the age of the daughter.
The difference between the total age of the father, mother, and daughter and the total age of the father and mother gives us the age of the daughter.
84 - 76 = 8 years.
Therefore, the age of the daughter is 8 years. So, the correct answer is option 'C'.
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In a family the average age of the father and mother is 38 years, whereas the average age of father, mother and only daughter is 28 years. The age of daughters isa)5 yearsb)6 yearsc)8 yearsd)10 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer?
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