Question
Download Solution PDFTwo numbers are in the ratio of 6 ∶ 7. If 12 is added to each of the numbers, their ratio becomes 7 ∶ 8. Find the two numbers.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
m : n = 6 : 7
(m + 12) : (n + 12) = 7 : 8
Solution:
m = 6n/7
⇒ 8 x (6n/7 + 12) = 7 x (n + 12)
⇒ 48n + 672 = 49n + 588
n = 672 - 588
n = 84
m = (6 x 84)/7 = 72
The two numbers are 72 and 84.
Hence, the correct option is 1.
Last updated on Jun 27, 2025
-> Check out the UGC NET Answer key 2025 for the exams conducted from 25th June.
-> The UGC Net Admit Card has been released on its official website today.
-> The UGC NET June 2025 exam will be conducted from 25th to 29th June 2025.
-> The UGC-NET exam takes place for 85 subjects, to determine the eligibility for 'Junior Research Fellowship’ and ‘Assistant Professor’ posts, as well as for PhD. admissions.
-> The exam is conducted bi-annually - in June and December cycles.
-> The exam comprises two papers - Paper I and Paper II. Paper I consists of 50 questions and Paper II consists of 100 questions.
-> The candidates who are preparing for the exam can check the UGC NET Previous Year Papers and UGC NET Test Series to boost their preparations.