SOLUTION: Pliz help me A number is divided into 2 parts in such a way that 80% of the first part is 3 more than 60% of the 2nd part and 80% of the 2nd part is 6 more than 90% of the first

Question 882917: Pliz help me
A number is divided into 2 parts in such a way that 80% of the first part is 3 more than 60% of the 2nd part and 80% of the 2nd part is 6 more than 90% of the first part,find the number. (Answer is 135)
Found 2 solutions by rothauserc, josmiceli:
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Let x be the first part and y be the second part, then
.8x = .6y + 3
.8y = .9x + 6
Solve for y in second equation
y = .9x/.8 + 6/.8
y = 1.125x + 7.5
Substitute for y in first equation
.8x = .6*(1.125x +7.5) + 3
.8x = 0.675x +7.5
0.125x = 7.5
x = 60
Now use first equation to determine y
48 = .6y +3
.6y = 45
y = 75
First part is 60 and second part is 75
Check answers
.8(60) = .6(75) + 3
48 = 45 + 3
48 = 48
.8(75) = .9(60) + 6
60 = 54 + 6
60 = 60
Answers check
The number is 60 + 75 = 135

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the 2 parts of the number
be and
--------------------
(1)
(2)
--------------------
(1)
(1)
and
(2)
(2)
--------------------
Multiply both sides of (1) by and
multiply both sides of (2) by
The subtract (2) from (1)
----------------------
(1)
(2)

-------------
(1)
(1)
(1)
(1)
(1)
--------------

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