Question
Download Solution PDFTwo numbers are in the ratio of 5 ∶ 7. If 6 be added to each, the ratio becomes 3 ∶ 4. Find the numbers.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Ratio of two numbers = 5 : 7
When 6 is added to each, new ratio = 3 : 4
Calculation:
Let the numbers be 5x and 7x.
According to the question,
⇒
⇒ 4(5x + 6) = 3(7x + 6)
⇒ 20x + 24 = 21x + 18
⇒ 21x – 20x = 24 – 18
⇒ x = 6
First number = 5x = 5 × 6 = 30
Second number = 7x = 7 × 6 = 42
Therefore, the two numbers are 30 and 42.
Last updated on Jul 19, 2025
-> The SSC CGL Notification 2025 has been announced for 14,582 vacancies of various Group B and C posts across central government departments.
-> CSIR NET City Intimation Slip 2025 has been released @csirnet.nta.ac.in.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025 in multiple shifts.
-> Aspirants should visit the official website @ssc.gov.in 2025 regularly for CGL Exam updates and latest announcements.
-> Candidates had filled out the SSC CGL Application Form from 9 June to 5 July, 2025. Now, 20 lakh+ candidates will be writing the SSC CGL 2025 Exam on the scheduled exam date. Download SSC Calendar 2025-25!
-> In the SSC CGL 2025 Notification, vacancies for two new posts, namely, "Section Head" and "Office Superintendent" have been announced.
-> Candidates can refer to the CGL Syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline, with the age limit varying from post to post.
-> The SSC CGL Salary structure varies by post, with entry-level posts starting at Pay Level-4 (Rs. 25,500 to 81,100/-) and going up to Pay Level-7 (Rs. 44,900 to 1,42,400/-).
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.