Discussion
There are two numbers such that the sum of twice of the first and thrice of the second is 25, while the sum of thrice of the first and twice of the second is 20. The largest of the two is :
Answer: C
The larger number is 7.
Let the numbers be x and y:
\[ \begin{aligned} 2x + 3y &= 25 \\ 3x + 2y &= 20 \end{aligned} \]
Adding gives \(5x + 5y = 45\), so \(x + y = 9\); subtracting the first from the second gives \(x - y = -5\). Hence \(x = 2\) and \(y = 7\).
Check: \(4 + 21 = 25\) and \(6 + 14 = 20\). The larger of 2 and 7 is 7; 5 is their difference, and 10 and 8 do not satisfy the equations.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development