Question

The HCF and LCM of two numbers are 25 and 2250, respectively. If one of the numbers is 250, find the other number.​

Answer 1

Step-by-step explanation:

There are only 2 such possibilities:

We know that, 15 = 3 * 5, and 225 = 3 * 3 * 5 * 5

The product of the two numbers = 3 * 3 * 3 * 5 * 5 * 5

Let us now suppose, that the 2 numbers satisfying the conditions are x and y.

To split the product of the two numbers, satisfying the above conditions, if one of the numbers is split as 3 * 3 * 5, or 45, then the other number has to be 75.

Another way to split the product, is, if we split as 3 * 5, or 15, then the other number is 225.

Thus, there are only 2 such pairs of x and y possible, that satisfy the above condition.

Answer 2

Answer:

one of the number is 25 then another number is one hundred