Question

If M and N are digits and satisfy 5M + N3 = 65, where 5M and N3 are two-digit numbers, then find the value of 10M – 5N.

Answer 1

The value of 10M-5N​ is 15 if  M and N are digits and satisfy 5M+N3 = 65

 

Given:

• M and N are digits
• 5M+N3 = 65

To Find:

• The value of 10M-5N​

Solution:

Step 1:

Find Value of 5M  and N3

5 x 10 + M  = 50 + M

N x 10 + 3  =  10N  + 3

Step 2:

Substitute values in 5M+N3 = 65

50 + M +  10N  + 3 = 65

=> M + 10N  = 12

=>  NM  = 12

Hence N = 1 ,  M = 2

Step 3:

Substitute M= 2 and N = 1 and calculate the value of 10M - 5N

10 (2) - 5(1)

= 20 - 5

= 15

Hence , The value of 10M-5N​ is 15