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The average age of 5 children of a family is 10 years but if we include the age of father and mother then the average age becomes 22 years. It is given that father age is 6 years more than the mother so what will be the age of mother at present.
- a)47
- b)48
- c)49
- d)50
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The average age of 5 children of a family is 10 years but if we includ...
Answer – c) 49 Explanation : sum of age of children = 50 50 + M+ F = 22*7 = 154.
M+F = 104 and F= M+6 . So, M = 49
M+F = 104 and F= M+6 . So, M = 49
Most Upvoted Answer
The average age of 5 children of a family is 10 years but if we includ...
Sum of the age of 5 children = 5 * 50 = 150 years
It is given that father age is more than the mother.
Let mother age be x
then father age = x+6
Sum = Average * Total Number
50 + x + x + 6 = 22 * 7
2x + 56 = 154
2x = 98
x = 49
It is given that father age is more than the mother.
Let mother age be x
then father age = x+6
Sum = Average * Total Number
50 + x + x + 6 = 22 * 7
2x + 56 = 154
2x = 98
x = 49
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Community Answer
The average age of 5 children of a family is 10 years but if we includ...
Given information:
- The average age of 5 children is 10 years.
- When the age of the father and mother is included, the average age becomes 22 years.
- The father's age is 6 years more than the mother's age.
To find:
The age of the mother at present.
Solution:
Let's assume the age of the mother is x years.
Step 1: Find the average age of the father and mother.
Since the average age of the 5 children is 10 years, the total age of the 5 children would be 5 * 10 = 50 years.
When the father and mother's age are included, the total age becomes 50 + x + (x+6) = 50 + 2x + 6 = 56 + 2x years.
The average age is given as 22 years, so we can write the equation as:
(56 + 2x) / 7 = 22
Step 2: Solve the equation to find the value of x.
Multiply both sides of the equation by 7 to eliminate the denominator:
56 + 2x = 22 * 7
56 + 2x = 154
Subtract 56 from both sides:
2x = 154 - 56
2x = 98
Divide both sides by 2:
x = 98 / 2
x = 49
Step 3: Find the age of the mother at present.
From the above calculation, we found that the age of the mother is 49 years.
Therefore, the correct answer is option C) 49.
- The average age of 5 children is 10 years.
- When the age of the father and mother is included, the average age becomes 22 years.
- The father's age is 6 years more than the mother's age.
To find:
The age of the mother at present.
Solution:
Let's assume the age of the mother is x years.
Step 1: Find the average age of the father and mother.
Since the average age of the 5 children is 10 years, the total age of the 5 children would be 5 * 10 = 50 years.
When the father and mother's age are included, the total age becomes 50 + x + (x+6) = 50 + 2x + 6 = 56 + 2x years.
The average age is given as 22 years, so we can write the equation as:
(56 + 2x) / 7 = 22
Step 2: Solve the equation to find the value of x.
Multiply both sides of the equation by 7 to eliminate the denominator:
56 + 2x = 22 * 7
56 + 2x = 154
Subtract 56 from both sides:
2x = 154 - 56
2x = 98
Divide both sides by 2:
x = 98 / 2
x = 49
Step 3: Find the age of the mother at present.
From the above calculation, we found that the age of the mother is 49 years.
Therefore, the correct answer is option C) 49.
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