HCF and LCM of two numbers is 5 and 4950 respectively. if one of the numbers is 225, find the other number.
Answers
Answer:
other number is 110
Step-by-step explanation:
products of two numbers = H.C.F( two numbers ) × L.C.M( two numbers )
225 × other no. = 5 × 4950
225 × other no. = 24750
other no. = 24750/225
other no. = 110
Answer:
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.
Step-by-step explanation: