Question

if HCF of 480 and 685 is expressed in the form of 480x-475 then find the value of x

Answer 1

=> 480 = 2⁴ x 2 x 3 x 5

=> 685 = 5 x 137

Thus HCF(480,685) = 5

Thus HCF = 480x - 475 (given) (correction)

=> 5 = 480x - 475

=> 480x = 480

=> x = 1
Hope it helps u

Answer 2

480 = 2^3 x 2^2 x 5 x 3

685 = 5 x 137

HCF is 5.

Since 480x - 475 is hcf we can write that

480x - 475 = 5
480x = 480
x = 1