SOLUTION: Hello, I am a parent that didn't do well in Algebra,so I'm having a hard time helping w/their homework. Could someone please help me/my child's Math? Here is one of the questions:

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Question 1135028: Hello, I am a parent that didn't do well in Algebra,so I'm having a hard time helping w/their homework. Could someone please help me/my child's Math? Here is one of the questions:
"The sum of two numbers is sixty-five. If the larger number is divided by the smaller number, then the quotient is three and the remainder is five. Find the numbers."
Found 3 solutions by MathLover1, Edwin McCravy, ikleyn:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

let two numbers be and , and let be the larger number
given:
The sum of two numbers is sixty-five.
...solve for
.......eq.1
If the larger number is divided by the smaller number, then the quotient is three and the remainder is five.
..solve for

...............eq.2
from eq.1 and eq.2 we have:

Find the numbers




go back to .......eq.1, plug in value and find


so, your numbers are: and

check:
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
The sum of two numbers is sixty-five.
 

Larger+Smaller = 65
        Larger = 65-Smaller

If the larger number is divided by the smaller number, then the quotient is
three and the remainder is five. Find the numbers.
                3           
 Smaller)65-Smaller     
         3×Smaller          
         65-Smaller-3×Smaller = REMAINDER = 5

                      65-S-3S = 5
                        65-4S = 5
                          -4S = -60
                            S = 15

So Smaller = 15
and Larger = 65-Smaller = 65-15 = 50
 
Edwin
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
There is a group of lessons
    - HOW TO solve a linear equation
    - Simple word problems to solve using a single linear equation
    - More complicated word problems to solve using a single linear equation
    - Typical word problems from the archive to solve using a single linear equation
    - Advanced word problems to solve using a single linear equation
    - HOW TO algebreze and solve these problems using one equation in one unknown
    - Challenging word problems to solve using a single linear equation
    - HOW TO solve these simple word problems MENTALLY without using equations
in this site, specially written for beginner students (and their parents) to help them start solving word problems.

I think it will be beneficiary for you and for your child/children to read or at least to look in these lessons.

Every time, when you have a difficult Math problem related to the school Math (or adjacent to it), submit it to the forum.

You will get a solution, or instructions on how to solve it, or recommendations, where to find useful information/reading.


Happy learning !



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