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Question

If 3m5m=1 and 2m=n3 find the value of (3m+5n) and (m+2n).


  1. 11, 4

  2. -11, -4

  3. -1, -2

  4. 2, 11

  5. -1, 2


Solution

The correct option is B

-11, -4


3m5n=1...(i)

2m=n3...(ii)

Multiplying (i) by 2 and (ii) by 3 and subtracting (ii) from (i) -

6m10n(6m3n)=2+9

 -7n=7    n=-1

Substituting value of n (ii), we get

     2m(1)=32m+1=3

2m=4m=2

\((3m+5n) =3(-2)+5(-1) \\

=-6-5=-11 \)

and \((m+2n)=-2+2(-1) \\

=-2-2=-4\)

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