Help with another Math problem

[netmilsmom]

The sum of two numbers is 65 And if the larger number is divided by the smaller number then the quotient is 3 and the remainder is 5. Find the numbers.

Help.

[netmilsmom]

Okay, so here we are with 9th grade Algebra again. Can anyone give us step by step instructions on this?

[1rudeboy]

I hate pop quizzes.

[netmilsmom]

So do I. There won’t be a grade because I have no clue how to do this.

[netmilsmom]

Ping

[Perdogg]

15 and 50

[andy58-in-nh]

50 and 15.

[brityank]

Off the top of my head, 15 & 50.

How to do it algebraically - no clue! Sorry.

[ZGuy]

You take a guess. hmmmm . . . about a 50 and 15? let’s try that:
50 divided by 15 is 3 with a remainder of 5. Who needs algebra when you can get is right by guessing!

[blowfish]

A + B = 65
B / A = 3, remainder of 5
(3 x A) + 5 = B
substituting this in the first equasion
A + (3 x A) + 5 = 65
4 x A = 60
A = 15, B = 65 - 15 = 50

[Perdogg]

beat you by 15 seconds! ;)

[Mad Dawgg]

"Okay, so here we are with 9th grade Algebra again. Can anyone give us step by step instructions on this?"

My math teacher told us the most important thing to remember in Algebra is:

"X" always equals one...

unless it doesn't...

then it equals something else...

[ZGuy]

Guessing was faster.

[verity]

I believe I saw this on an IRS worksheet.

[HopeSprings]

First equation: a + b = 65
Next equation: a = 3b + 5
If you substitute the second equation into the first for a, then 4b + 5 = 65 so b = 15 and a = 50.

[netmilsmom]

My 10 Year old guessed it right too.
Pity we have to show the work!

[andy58-in-nh]

I know, and it burns my butt... ;-)

[Mr. K]

x + y = 65

x = 3y + 5 so x -3y = 5

subtract one expression from the other (remember minus a negative = plus)

x + y = 65
- x - 3y = 5
__________________
(0x) +4y = 60

y = 15

x = 50

check 1:
x + y = 65
50 + 15 = 65

check 2:
x = 3y + 5
50 = (3 * 15) + 5

50 = 45 + 5

50 - 50

[the_Watchman]

x + y = 65
x = 3y + 5
==> (3y +5) + y = 65 (substituting second into first)
4y + 5 = 65
4y = 60
y = 60 / 4 = 15

x = 3y + 5 = 50

[Tarpon]

A is bigger than B

In long hand ...
A+B = 65
A/B = 3 r5
A = B*3 +5
B*3 + 5 +B = 65
4B + 5 =65
4B = 60
B = 60/5
B = 15
A = 65 - 15 = 50

A=50
B=15

[netmilsmom]

Where do you get the “4”?