SOLUTION: A is 5 years older than Y. B is double A's age. A+B+Y <30. What is B's greatest possible age?

Algebra.Com
Question 1085835: A is 5 years older than Y. B is double A's age. A+B+Y <30.
What is B's greatest possible age?
Found 2 solutions by Cromlix, MathTherapy:
Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!
Hi there,
Make Y = x
A = 5 + x
B = 2(5 + x)
Y = x
A = 5 + x
B = 10 + 2x
Add up
x + x + 5 + 10 + 2x < 30
Collect like terms
x + x + 2x < 30 - 5 - 10
4x < 15
x < 15/4
x < 3.5 years
B < 10 + 2(3.5)
B < 17
Hope this helps :-)
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
A is 5 years older than Y. B is double A's age. A+B+Y <30.
What is B's greatest possible age?
With B's age being B, the correct INEQUALITY is: 

Solving this inequality results in: B < 17.5, so B's GREATEST POSSIBLE AGE is:  

RELATED QUESTIONS


Jack is 7 years older than Conor 
(a) If jacks age is x years what is Conor’s age?... (answered by ikleyn)

Ike’s age is three years more than twice his younger brother’s age. If the sum of their... (answered by rfer)

Keith 4 years older than twice Shelia’s age. Shelia is y years old.What expression can... (answered by josgarithmetic)

 A said to B,” I am 15 years older than you. After 5 years my age will be double of your... (answered by josgarithmetic)

Malcolm’s mother is 27 years older than he is and their ages are both two-digit numbers.... (answered by mananth)

Hendrix’s age is half that of David’s age. Cole is eight years younger than David. In... (answered by JBarnum,MathTherapy)

Sasha's age is 2 years older than twice her brother's age.  Sasha'a age is 17 minus her... (answered by Alan3354)

Bill"s age is a year less than twice Jane's age. 5 years ago Bills's age was 3 times... (answered by Edwin McCravy,greenestamps,ikleyn)

Andy is x years old. pam is 12 years older than he.
write an expression in x
a) pams... (answered by Boreal)