Question 934964: The difference between two numbers is 1365 when the larger number is divided by the smaller number, the quotient is 6 and the remainder is 15.the smaller number is ---------?
Found 4 solutions by josgarithmetic, lwsshak3, vicgonzerx, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source):
You can put this solution on YOUR website!  .
The system fits the description. v is the larger number.
Try first to simplify the DIVISION equation, and then substitute from the difference equation, and solve for the value of one variable....
Better still, the question means, SOLVE FOR u.
Simplifying the division equation gives a formula for v. Substitute this into the difference equation, and then solve for the value of u.
Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! The difference between two numbers is 1365 when the larger number is divided by the smaller number, the quotient is 6 and the remainder is 15.the smaller number is.
***
let x=larger number
let y=smaller number
x-y=1365
y=x-1365
..
x/y=6+15/y
x/(x-1365)+6+15/(x-1365)
lcd:(x-1365)
x=6(x-1365)+15
x=6x-8190+15
5x=8175
x=1635
y=x-1365=270
the smaller number is 270
Answer by vicgonzerx(31)  (Show Source):
You can put this solution on YOUR website! let x=larger number
y=smaller number
x-y=1365-------eq1
x/y=6 + 15/y-----eq 2
using eq 2
x=6y+15
subtitute to eq 1
6y+15 - y=1365
5y+15=1365
5y=1350
y=270 smaller number----the answer
Answer by MathTherapy(10556)  (Show Source):
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