Question

sum of two numbers is 25x,hcf is 5x,lcm is 30x.What are the numbers​

Answer 1

To Find - Numbers having sum= 25x, hcf = 5x, and lcm = 30x.

Solution - Let the numbers be a and b, then we get -

a + b = Sum of Numbers = 25x

ab = Product of LCM and HCF = (5x)(30x)

ab = 150 $x^{2}$

Factorizing 150$x^{2}$ we get following pairs- (5x, 30x), (10x,15x), (50x,3x), (25x,6x)

Since the sum of two numbers is given to be 25x, hence the only possible pair is (10x,15x).

a + b = 10x + 15x = 25x

ab = (10x)(15x) = 150 $x^{2}$

Both statements hold true, hence the required numbers are 10x and 15x

Answer 2

Answer:

the answer to the equation is as follows:

Step-by-step explanation:

Let the numbers be h and g, then we get -

h+ g = Sum of the above said Numbers = 25x

hg = The product of given LCM and HCF in the ques = (5x)(30x)

hg = 150  

On factorizing 150, we get following pairs- (5x, 30x), (10x,15x), (50x,3x), (25x,6x)

Since the sum is required to be 25x of the two numbers to satisfy the question, hence the only possible pair is (10x,15x).

h+ g = 10x + 15x = 25x

hg = (10x)(15x) = 150  

Both statements satisfy the given situation in the question , hence the required numbers are 10x and 15x