Two number LCM is 495 & Two number HCF is 5. When we do Plus those number we find 100 number what diffrance bitween those number.
I think I managed to translated your "English" to
"The LCM of two numbers is 495 and their HCF is 5. When adding the two numbers we get 100.
What is the difference between the two numbers ? "
495 = 5 x 9 x 11
both must divided by 5, one is multiple of 9 , the other a multiple of 11
how about 45 and 55
their HCF is 5
their LCM is 495 and their sum is 100
Then their difference is 55-45 = 10
let us two numbers are x, (100-x)
x.(100-x)=495*5
100x-x^2=2475
x^2-100x+2475=0
x^2-55x-45x+2475
x(x-55)-45(x-55)
x=55 or x=45
difference is 55-45=10
thanks
To find the difference between the two numbers, we need to determine what those numbers are.
First, let's find the numbers using the given Least Common Multiple (LCM) and Highest Common Factor (HCF).
The LCM of two numbers is the smallest multiple that is divisible by both numbers. In this case, the LCM is 495.
The HCF of two numbers is the largest number that divides both numbers evenly. In this case, the HCF is 5.
To find the two numbers, we can use the relationship: LCM × HCF = product of the two numbers.
So, let's divide the LCM by the HCF to get the product of the two numbers: 495 ÷ 5 = 99.
Now we know that the product of the two numbers is 99. To find the actual numbers, we need to factorize 99 into its prime factors: 99 = 3^2 × 11.
From this prime factorization, we can deduce that the two numbers are 3^2 = 9 and 11.
Now, let's find the difference between these two numbers: 11 - 9 = 2.
Therefore, the difference between the two numbers is 2.