Question

If hcf of 480 and 685 is expressed in form 480x-475, find the value of x.

Answer 1

hey there here is your answer.....

now we are gonna find hcf of 480 and 685
685 = 480 × 1 +205
480 = 205 × 2 + 70
205 = 70 × 2 + 65
70 = 65 × 1 + 5
65 = 5 × 13 + 0
therefore hcf of 480 , 685 is 5

here given

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

hope it helps.......☺️☺️

Answer 2

Answer:

The value of x is 1.

Step-by-step explanation:

To find HCF of 480 and 685, we apply Euclid's division algorithm to 480 and 685 as

              $685 = 480 \times 1+ 205\\\\480=205\times 2 +70\\\\205=70 \times 2+65\\\\70=65\times 1+5\\\\65=5 \imes 13+0$

So, HCF of 480 and 680 is 5.

480x - 475 = 5,

480x = 5 + 475,

480x =480,

x= $\frac{480}{480}$,

x=1

Hence, the value of x is 1.

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