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(52798)   (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





 

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