Sarthaks Test
0 votes
in Mathematics by (15.0k points)

A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

1 Answer

0 votes
by (24.8k points)
selected by
Best answer

Let the numbers be x and 5x. According to the question,

21 + 5x = 2(x + 21)

21 + 5x = 2x + 42

Transposing 2x to L.H.S and 21 to R.H.S, we obtain

5x -2x = 42 - 21

3x = 21

Dividing both sides by 3, we obtain

x = 7

5x = 5 x 7 = 35

Hence, the numbers are 7 and 35 respectively.

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.