Q:
The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ?
Answer & Explanation
Answer: A) 63 and 49
Explanation: Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y
Difference = 14
=> 7x - 7y = 14
=> x - y = 2
product of numbers = product of their hcf and lcm
=> 7x * 7y = 441 * 7
=> x * y = 63
Now, we have
x * y = 63 , x - y = 2
=> x = 9 , y = 7
The numbers are 7x and 7y
=> 63 and 49
View Answer
Workspace
Report Error
Discuss