SOLUTION: 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

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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.

Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52794) (Show Source):
You can put this solution on YOUR website!
.

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.

My comments are inside your text.

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!

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.

This, you do understand:
The LARGER (MX) is the SUM, less the SMALLER, or: MX = S - X
-------- Substituting for X