Question 1125145

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) I understand how this was solved for.


MX = MS /(1 + M)


I am not clear how the MX was solved for.

Non-homework.
<pre>This, you do understand: {{{matrix(1,3, X, "=", S/(1 + M))}}}
The LARGER (MX) is the SUM, less the SMALLER, or: MX = S - X
{{{matrix(1,3, MX, "=", S - S/(1 + M))}}} -------- Substituting {{{S/(1 + M)}}} for X
{{{matrix(1,3, MX, "=", (S(1 + M) - S)/(1 + M))}}}
{{{matrix(1,3, MX, "=", (S + SM - S)/(1 + M))}}}
{{{highlight_green(matrix(1,3, MX, "=", SM/(1 + M)))}}}