SOLUTION: Lenlen is 2years younger than her brother.three times lenlen's age is less than four times her brothers age diminished by tweleve.find the least possible age of lenlen

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Lenlen is 2years younger than her brother.three times lenlen's age is less than four times her brothers age diminished by tweleve.find the least possible age of lenlen       Log On


   

Question 1111329: Lenlen is 2years younger than her brother.three times lenlen's age is less than four times her brothers age diminished by tweleve.find the least possible age of lenlen
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Lenlen is 2years younger than her brother.
L = b - 2
three times lenlen's age is less than four times her brothers age diminished by twelve.
3L < 4b - 12
Replace L with (b-2)
3(b-2) < 4b - 12
3b - 6 < 4b - 12
3b - 4b < -12 + 6
-b < -6
multiply by -1, this reverses the inequality sign
b > 6
:
L = b - 2
L > 6 - 2
L > 4
:
find the least possible age of lenlen: 5 yrs old
:
:
Check this. b = 7 (two more than L)
"three times lenlen's age is less than four times her brothers age diminished by twelve"
3(5) < 4(7) - 12
15 < 28 - 12
15 < 16; true!