SOLUTION: Hendrix’s age is half that of David’s age. Cole is eight years younger than David. In seven years, Hendrix will be two years older than Cole’s original age. What is the sum of thei

Algebra.Com
Question 286026: Hendrix’s age is half that of David’s age. Cole is eight years younger than David. In seven years, Hendrix will be two years older than Cole’s original age. What is the sum of their current ages?
A. 57 B. 78 C. 47 D. 92 E. None of these.
Found 2 solutions by JBarnum, MathTherapy:
Answer by JBarnum(2146)   (Show Source): You can put this solution on YOUR website!



C+D+H=X find X, where X= total sum of ages
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Hendrix’s age is half that of David’s age. Cole is eight years younger than David. In seven years, Hendrix will be two years older than Cole’s original age. What is the sum of their current ages?

Let Hendrix' age be H.

Since Hendrix is half of David's age, then David's age is 2H

Since Cole is eight years younger than David, then Cole is 2H - 8

Since in seven years, Hendrix will be two years older than Cole’s original (current) age, then we'll have:
H + 7 = 2H - 8 + 2

H + 7 = 2H - 6

-H = - 13

Therefore, H, or Hendrix' current age is 13

This means that David is 2H, or 2(13) = 26

This also means that Cole's age is 2H - 8, or 2(13) - 8, or 18

This makes the sum of their ages 13 + 26 + 18, or
RELATED QUESTIONS

Eight years ago Charles was 1 year older than twice David’s age then. In eight years,... (answered by josgarithmetic,ewatrrr,MathTherapy)
David is 30 years younger than his father. Two years ago, 3 times of David's age was 20... (answered by Theo)
Andrew has two children, David and Helen. The sum of their three ages is 49. David’s age... (answered by josgarithmetic,Theo,MathTherapy)
Could you please explain how to tackle this problem? The ratio of Jonathan’s age to... (answered by Alan3354,MathLover1,MathTherapy)
David is y years old. Tom is 2 years younger than David. What is Tom's... (answered by oberobic)
jenny is 6 years older than david. david age is three years more than half of jennys... (answered by addingup)
Twice the sum of jerry and David’s age is equivalent to ten years less than three times... (answered by josgarithmetic)
David is 5 years younger than twice Miguel's age. David 31. How old is... (answered by fractalier)
Mon is 8 years younger than Ram. In two years, the age of Ram will be 2 less than twice... (answered by algebrahouse.com)