Solve the following problems.
a. After 6 points have been added to every score in a sample, the mean is found to be $M=70$ and the standard deviation is $s=13 .$ What were the values for the mean and standard deviation for the original sample?
b. After every score in a sample is multiplied by $3,$ the mean is found to be $M=48$ and the standard deviation is $s=18 .$ What were the values for the mean and standard deviation for the original sample?