SOLUTION: Hi, my name is Courtney. May you help me with this problem, I can not figure this out. (One number is 28 more than three times another number. If each number were multiplied by fou

Question 559817: Hi, my name is Courtney. May you help me with this problem, I can not figure this out. (One number is 28 more than three times another number. If each number were multiplied by four, their difference would be 232. What are the numbers?). Thank you.
Found 2 solutions by mananth, josmiceli:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the number be x
other number = 3x+28
4(3x+28)-4x=232
12x+112-4x=232
8x+112=232
8x=232-112
8x=120
/8
x=15
one number is 15
other number is 3x+28
3*15+28
73
the numbers are 15 & 73

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I can see why you have trouble. It's hard to read.
Call the numbers and
given:
(1)
From this data, you can see that is the larger number
You can use this fact in the next equation
(2)
--------------------
(1)
and
Divide both sides of (2) by
(2)
Subtract (1) from (2)
(2)
(1)

and, since
(2)
(2)
(2)
(2)
The numbers are 73 and 15
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
OK
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