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A boy's age is one-fourth of his father's age. The sum of the boy's age and his father's age is 35. What will be father's age after 8 years?
- a)15
- b)28
- c)35
- d)36
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A boy's age is one-fourth of his father's age. The sum of the boy's a...
Let age of son =(x)
View all questions of this test
age of father (=4x)
According to question (x+4x=35)
(x=7)
Father's current age (=7×4=28)
Father's age after 8 year =(288=36 years)
Most Upvoted Answer
A boy's age is one-fourth of his father's age. The sum of the boy's a...
The Problem:
A boy's age is one-fourth of his father's age. The sum of the boy's age and his father's age is 35. What will be the father's age after 8 years?
Given Information:
- A boy's age is one-fourth of his father's age.
- The sum of the boy's age and his father's age is 35.
Let's solve the problem step by step:
Step 1: Define Variables:
Let's assume the boy's age as 'b' and the father's age as 'f'.
Step 2: Translate the Given Information into Equations:
Based on the given information, we can write two equations:
1. The boy's age is one-fourth of his father's age: b = (1/4)f
2. The sum of the boy's age and his father's age is 35: b + f = 35
Step 3: Solve the Equations:
To find the values of 'b' and 'f', we can use substitution or elimination method.
Substitution Method:
We can substitute the value of 'b' from equation 1 into equation 2:
(1/4)f + f = 35
(5/4)f = 35
f = (4/5) * 35
f = 28
So, the father's current age is 28.
Step 4: Calculate the Father's Age After 8 Years:
To find the father's age after 8 years, we simply add 8 to his current age:
Father's age after 8 years = 28 + 8 = 36
Therefore, the correct answer is option D) 36.
A boy's age is one-fourth of his father's age. The sum of the boy's age and his father's age is 35. What will be the father's age after 8 years?
Given Information:
- A boy's age is one-fourth of his father's age.
- The sum of the boy's age and his father's age is 35.
Let's solve the problem step by step:
Step 1: Define Variables:
Let's assume the boy's age as 'b' and the father's age as 'f'.
Step 2: Translate the Given Information into Equations:
Based on the given information, we can write two equations:
1. The boy's age is one-fourth of his father's age: b = (1/4)f
2. The sum of the boy's age and his father's age is 35: b + f = 35
Step 3: Solve the Equations:
To find the values of 'b' and 'f', we can use substitution or elimination method.
Substitution Method:
We can substitute the value of 'b' from equation 1 into equation 2:
(1/4)f + f = 35
(5/4)f = 35
f = (4/5) * 35
f = 28
So, the father's current age is 28.
Step 4: Calculate the Father's Age After 8 Years:
To find the father's age after 8 years, we simply add 8 to his current age:
Father's age after 8 years = 28 + 8 = 36
Therefore, the correct answer is option D) 36.
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A boy's age is one-fourth of his father's age. The sum of the boy's age and his father's age is 35. What will be father's age after 8 years?a)15b)28c)35d)36Correct answer is option 'D'. Can you explain this answer?
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