Question

express the hcf of 235 and 365 as 235x+365y, where x and you are integers ​

Answer 1

Step-by-step explanation:

Given -

• Numbers 235 and 365

To Find -

• HCF and express it in the form of 235x + 365y, where x and y are integers

Now,

235 = 5×47

365 = 5×73

→ HCF = 5

Now, Expressing 5 in the form of 235x + 365y, we get :

→ 235x + 365y = 5

→ 5(47x + 73y) = 5

→ 47x + 73y = 1

→ 47(2) + 73(-1) = 1

→ 74 - 73 = 1

→ 1 = 1

Hence,

The value of x is 2 and value of y is -1

Answer 2

$\large{\boxed{\underline{\underline{\bf{\red{Answer:-}}}}}}$

$\large\underline\mathrm{The \: value \: of \: x \: is \: 2 \: and \: y \: is \: -1 \: .}$

$\large\underline\mathrm{Given:-}$

• Number 235 and 365

$\large\underline\mathrm{To \: find}$

• Hcf of 235 and 365 as 235x+365y, where x and you are integers.

$\large\underline\mathrm{Solution}$

$\implies$ 235 = 5 × 47

$\implies$ 365 = 5 × 73

$\implies$ 235x + 365y = 5

$\implies$ 5(47x + 73y) = 5

$\implies$ 47x + 73y = 1

$\implies$ 47(2) + 73(-1) = 1

$\implies$ 74 - 73 = 1

$\implies$ 1 = 1

$\large\underline\mathrm{hence,}$

$\large\underline\mathrm{The \: value \: of \: x \: is \: 2 \: and \: y \: is \: -1 \: .}$

$\large\underline\mathrm{Hope \: it \: helps \: you \: plz \: mark \: me \: brainlist}$