Question

if the hcf of 125 and 605 is given by 125x+605. then find the value of x

Answer 1

Given:

(i)The HCF of 125 and 605 is given by 125x+605.

To find:

(i) The value of x.

Solution:

First of all, we break 125 and 605 into its respective prime factors.

125 = 5*5*5

605 = 5*11*11

So, the highest common factor (HCF) = 5

Thus, 125x + 605 = 5

⇒ 125x = -600

⇒ x = -600/125

⇒ x = -4.8

The value of x is -4.8.