Question

find the largest number which divides 70 and 125 leaving remainder 5 and 8 respectively if the HCF of 65 and 117 is expressible in the form 65m -117 find the value of

Answer 1

I think half of ur question is wrong!!!
ok I'll send answer for another half question :-)

$65 = 5 \times 13 \\ 117 = {3}^{2} \times 13 \\ hcf \: of \: 65 \: and \: 117 = 13 \\ 65x - 117 = 13 \\ 65x = 13 + 117 \\ 65x = 130 \\ x = \frac{130}{65} \\ x = 2$
I had taken 'm' as 'x' ook!!
I hope it will be useful for you
pls mark it as brainliest answer
thank you!!!

Answer 2

CORRECT QUESTION:-

find the largest number which divides 70 and 125 leaving remainder 5 and 8 respectively.

GIVEN:-

The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively.

FIND:-

What is the number = ?

SOLUTION:-

Here,

when the number divides 70 leaves remainder as 5. So, 70-5 = 65

and

when the number divides 125 leaves remainder as 8. So, 125 - 8 = 117

Now, let us find the HCF of 65 and 117.

Since, 117>65

$\tt \therefore117 = 65 \times 1 + 52$

$\tt \implies65 = 52 \times 1 + 13$

$\tt \implies 52 = 13\times 4 + 0$

Hence, remainder is become 0.

Thus, 13 is the HCF of 65 and 117.

Hence, $\boxed{\tt13}$ is the required no. which divides 70 and 125 leaving remainder 5 and 8 respectively.