Question

At present the average age of father and son is 25 years and after 7 years the son will be 17 years old what will be age of father after 10 years ?

• A. 50
• B. 64
• C. 47
• D. 88

Answer 1

Answer:

A. 50

Understanding Age-Related Problems in Competitive Exams

• When tackling average and age problems, it's crucial to establish the current ages of individuals before calculating future or past ages.

• The fundamental formula for average is: Average = Sum of Quantities / Number of Quantities. Conversely, Sum of Quantities = Average × Number of Quantities.

Step-by-Step Solution Breakdown

1. Calculate the Current Sum of Ages:

   • Given that the average age of the father and son is 25 years, and there are two individuals, their combined current age is calculated as:

   • Sum of current ages = Average age × Number of people = 25 years × 2 = 50 years.

2. Determine the Son's Current Age:

   • The problem states that the son will be 17 years old after 7 years.

   • To find his current age, subtract 7 years from his future age:

   • Son's current age = 17 years - 7 years = 10 years.

3. Find the Father's Current Age:

   • Now that we know the combined current age (50 years) and the son's current age (10 years), we can find the father's current age:

   • Father's current age = (Father's current age + Son's current age) - Son's current age = 50 years - 10 years = 40 years.

4. Calculate the Father's Age After 10 Years:

   • The question asks for the father's age after 10 years from the present.

   • Add 10 years to the father's current age:

   • Father's age after 10 years = Father's current age + 10 years = 40 years + 10 years = 50 years.