Question 1125145
.
<pre>

S is the sum of two numbers, and the larger is M times the smaller.  Determine numbers.

Partial solution with problem:

X = smaller number.
MX = larger.

X + MX = S

X(1 + M) = S

X = S / (1 + M)     <<<---===  Till this line everything is correct; you just got the solution, which you do understand.

                    

MX = MS /(1 + M)    <<<---===  what is in this line, is the calculation of the second number.
                               Simply the first number is multiplied by M, in accordance with the condition.
                              


I am not clear how the MX was solved for.

Non-homework.
</pre>

My comments are inside your text.