the value of n is both 5 times as much as the value of m and 36 more than the value of m. what are the value of n and m

Verified Answer :

Answer: n=45 and m=9.


Step-by-step explanation:

According to the given statement,

      \(n=5m\)..............(1)

and         \(n=m+36\)...........(2)

Now, substitute the value of n from (1) in (2), we get

                                              \(5m=m+36\)

Subtract m from  both sides, we get

 \(4m=36\)

Divide both side by 4, we get

             \(m=9\)

Now, substitute the value of m in (1), we get

                                \(n=5(m)\)

     Therefore,     \(n=5(9)=45\)