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
228 views
in Linear Equations by (33.1k points)
closed by

Divide a rope of length 560 cm into 2 parts such that twice the length of the smaller part is equal 1/3 of the larger part. Then find the length of the larger part.

1 Answer

+1 vote
by (33.5k points)
selected by
 
Best answer

Let the length of the smaller part of the rope be ‘x’ cm 

and that of the larger part be ‘y’ cm. 

According to the first condition, 

total length of the rope is 560 cm. 

∴ x + y = 560 …(i)

Twice the length of the smaller part = 2x 

rd length of the larger part = 1/3 y 

According to the second condition,

2x =\(\frac{1}{3}\)  y

∴ 6x = y 

∴ 6x – y = 0 ……(ii) 

Adding equations (i) and (ii),

∴ x = 80 

Substituting x = 80 in equation (ii), 

6x – y = 0

∴ 6(80) – y = 0 

∴ 480 – y = 0 

∴ y = 480 

∴ The length of the larger part of the rope is 480 cm.

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.

...