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:

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> 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:       Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!

let two numbers be x and y, and let x be the larger number
given:
The sum of two numbers is sixty-five.
x%2By=65...solve for x
x=65-y.......eq.1
If the larger number is divided by the smaller number, then the quotient is three and the remainder is five.
x%2Fy=3+%2B5%2Fy..solve for x
x=3y+%2B5y%2Fy
x=3y+%2B5...............eq.2
from eq.1 and eq.2 we have:

Find the numbers3y+%2B5=65-y
3y+%2By=65-5
4y=60
y=60%2F4
highlight%28y=15%29
go back to x=65-y.......eq.1, plug in y value and find x
x=65-15
highlight%28x=50%29
so, your numbers are: highlight%28+50%29 and highlight%2815%29

check:
x%2By=65
50%2B15=65
65=65
x%2Fy=3+%2B5%2Fy
50%2F15=3+%2B5%2F15
50%2F15=3+%2B1%2F3
3.333333333333333=3+%2B0.333333333333333
3.333333333333333=3.333333333333333

Answer by Edwin McCravy(20055) About Me  (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) About Me  (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 !