Question

The difference of two numbers is 15. The lcm and hcf 180 and 15 respectively. Find the numbers.

Answer 1

Answer:

So, the required numbers are 60 and 45 or -60 and -45.

Step-by-step explanation:

let one of the numbers be x. Then, another number must be (x - 15)

Since their difference is 15.

We now,

product of two numbers = HCF x LCM of those numbers

or, x(x - 15) = 180 x 15

or, x^2 - 15x = 2700

or, x^2 - 15x - 2700 = 0

Solve quadratic equation and you will get the value of x.

x = 60 or -45

So, x - 15 = 60 - 15 = 45  or -45 - 15 = -60

So, the required numbers are 60 and 45 or -60 and -45.

Answer 2

45 or -60 and -45
brainlist my answer