Question
The ratio of two natural numbers 'u' and 'v' is 3:4, respectively. When 12 is added to 'u' and 8 is subtracted from 'v', the ratio of 'u' to 'v' becomes 5:4. Find the square of the difference between the two numbers.
Solution
Let the values of 'u' and 'v' be '3a' and '4a', respectively. ATQ, 
Required square of difference between two numbers: 
More No. System Questions
- Let ‘n’ be the smallest perfect square divisible by 22, 26, 33 and 39. What is the remainder when ‘n’ is divided by 100?
- If 'A' = (62 - 5)2 - 40 × 24 + 19, then find the value of (0.15A) 4.
- Five successive even integers have a sum of 260. Find the difference between the cube of the first and the square of the last.
- Find the remainder when the number (196n + 75) is divided by 14.
- Find the remainder when 2⁵⁷ is divided by 5.
- One-fourth of a number is 70. What will 40% of that number?
- The sum of three numbers is 144. If the ratio of smallest number to largest number is 1:8, and that of smallest number to second smallest number is 1:3, th...
- What is the highest possible sum of (u + v) if the number '6u317v4' is divisible by 12?
- Three positive numbers are in the ratio 2:3:4. If the sum of their squares is 2349, what is the average of the two largest numbers?
- What is the remainder when 1427 is divided by 13?
Relevant for Exams:
