Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
58.5k views
in Linear Equations by (50.2k points)
closed by

Father's age is three times the sum of ages of his two children. After 5 years, his age will be twice the sum of ages of two children. Find the age of father.

1 Answer

+1 vote
by (55.4k points)
selected by
 
Best answer

Let the age of two children be x and y

So, the father’s present age = 3(x + y)

After five years,

Age of two children = (x + 5) + (y + 5) years

= ( x + y + 10) years

So, the age of father after five years = 3(x + y) + 5

= 3x + 3y + 5

According to the question,

3x + 3y + 5 = 2(x + y + 10)

⇒ 3x + 3y + 5 = 2x + 2y + 20

⇒ 3x – 2x + 3y – 2y = 20 – 5

⇒ x + y = 15

So, the age of two children = 15 years

And the age of father = 3(15) = 45years

Hence, the age of father is 45 years and the age of his two children is 15 years.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...