Question

b.
3. If HCF (35. 91) = mx 91 -5 x 35, then
find m.​

Answer 1

The value of m is 2.

Step-by-step explanation:

We are given that HCF(35, 91) = $(m\times 91) - (5 \times 35)$

The formula that we will use here is given by;

Product of two numbers = HCF of two numbers $\times$ LCM of two numbers

Here the two numbers are 35 and 91.

Firstly, we will find the LCM of these two numbers

5 35 , 91

7   7  , 91

13   1  , 13

         1  ,  1

So, the LCM of 35 and 91 = $5 \times 7 \times 13$ = 455.

Now, using the formula we get;

        $35 \times 91 = \text {HCF} \times 455$

         $\text {HCF}=\frac{35 \times 91}{455}$

                  =  $\frac{3185}{455}$  = 7

Now, HCF of two numbers (35,91) = 7

           $(m\times 91) - (5 \times 35)=7$

               $91m - 175=7$

                $91m = 175+7$

                $91m = 182$

                 $m=\frac{182}{91}= 2$

Hence, the value of m is 2.

Answer 2

Answer:

answer is 2 solution is in the previous solution..