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
3.3k views
in Mathematics by (57.4k points)

Of two numbers, 4 times the smaller one is less then 3 times the larger one by 5. If the sum of the numbers is larger than 6 times their difference by 6, find the two numbers.

1 Answer

+1 vote
by (63.7k points)
selected by
 
Best answer

Let the numbers be x and y, such that x > y 

Then, 3x - 4y = 5 ...(i) and (x + y) - 6 (x - y) = 6 

=> -5x + 7y = 6 …(ii) Solving (i) and (ii), we get: x = 59 and y = 43.

Hence, the required numbers are 59 and 43. 

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.

Categories

...