SOLUTION: Can someone please help me break down these problems please Thank you. 1) "I dont understand how to show the work of this word problem" LUC IS THREE YEARS MORE THAN TWICE KATE'

Question 542134: Can someone please help me break down these problems please Thank you.
1) "I dont understand how to show the work of this word problem" LUC IS THREE YEARS MORE THAN TWICE KATE'S AGE. FOUR YEARS AGO TH SUM OF THEIR AGES WAS 25. HOW OLD IS LUC NOW?

2) 16:0

3) 3/5N - 5 = 5N + 39

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let L = Luc's present age
Let K = Kate's present age
:
Write an equation for each statement:
:
"LUC IS THREE YEARS MORE THAN TWICE KATE'S AGE.
L = 2K + 3
:
"FOUR YEARS AGO TH SUM OF THEIR AGES WAS 25."
L-4 + K-4 = 25
L + K - 8 = 25
L + K = 25 + 8
L + K = 33
From the 1st statement, replace L with (2K+3)
2K + 3 + K = 33
3K = 33 - 3
3K = 30
K = 30/3
K = 10 yrs is Kate's present age
:
Find L
L = 2(10) + 3
L = 23 is Luc's present age
:
:
You can check these solutions in the statement:
"FOUR YEARS AGO TH SUM OF THEIR AGES WAS 25."
:
:
:
2. ??
:
3) N - 5 = 5N + 39
add 5 to both sides
N = 5N + 39 + 5
N = 5N + 44
Multiply both sides by 5 to get rid of the denominator
3N = 5(5N + 44)
3N = 25N + 220
3N - 25N = 220
-22N = 220
Divide both sides by -22
N = 220/-22
N = -10
:
You can check this solution in the original equation
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