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
360 views
in Linear Equations by (41.5k points)
closed by

The sum of three consecutive multiples of 7 is 777. Find these multiples.

(Three consecutive multiples of 7 are ‘x’, ‘x + 7’, ‘x + 14’)

1 Answer

+1 vote
by (40.1k points)
selected by
 
Best answer

Let the three consecutive multiples of 7 be x, x + 7, x + 14 say. 

According to the sum, 

The sum of three consecutive multiples of 7 is 777. 

⇒ x + (x + 7) + (x + 14)= 777 

⇒ 3x + 21 = 777 

⇒ 3x = 777 – 21 = 756

x = \(\frac{756}3\) = 252 

x + 7 = 252 + 7 = 259 

x + 14 252 + 14 = 266 

∴ The required three consecutive multiples of 7 are 252, 259, 266

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.

...