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
128 views
in Linear Equations by (49.1k points)
closed by

A number of two digits is equal to six times the sum of its digits. If the digits are reversed the number so formed is equal to:

(a) six times the sum of its digits.

(b) five times the sum of its digits.

(c) ten times the sum of its digits.

(d) nine times the sum of digits.

1 Answer

+1 vote
by (48.0k points)
selected by
 
Best answer

Correct option is (b) five times the sum of its digits.

Let the digit be x and y

Given, the number of two digits is equal to six times the sum of its digits, 

10x + y = 6(x + y)

⇒ 10x + y = 6x + 6y

⇒ 4x = 5y

⇒ \(x= \frac 54 y\)

Now, when the digits are reversed, the number will be 10y + x

Let 10y + x = a(x + y)

⇒ \(1 0y + \frac 54y = a (\frac 54y + y)\)

⇒ \(\frac{45}4 = a\frac 94\)

⇒ \(a = 5\)

Hence, if the digits are reversed the number so formed is equal to five times the sum of its digits.

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.

...