Question

If the sum of 2 number is 175,their lcm is 300 and hcf is 25.then their difference will be?​

Answer 1

The two numbers are 75 and 100.

Step-by-step explanation:

The sum of 2 number is = 175

LCM of the number = 300

HCF of the number = 25

Let the two numbers are = x and y

x + y = 175

y = 175 - x ------------(1)

xy = 300 × 25

xy = 7500 ------------(2)

from equation (1) and (2)

x(175-x) = 7500

x² - 175x + 7500 = 0

x² - 100x - 75x + 7500 = 0

x(x-100) - 75(x-100) = 0

(x-75)(x-100) = 0

x = 75, 100

from equation (1)

y = 175 - 75 = 100

y = 175 - 100 = 75

Therefore, the two numbers are 75 and 100.

Learn more about LCM and HCF : https://brainly.in/question/1986480?source=aid18111686