Cary is
6
years older than Dan. In
7
years the sum of their ages will be
96
. Find the age of each man now
Dan's age ---- x
Cary's age ---- x+6
x+7 + x+6+7 = 96
carry on
To find the age of each man now, we can set up equations based on the given information. Let's denote Dan's current age as "x" (in years), and Cary's current age as "x + 6" (since Cary is 6 years older than Dan).
In 7 years, Dan's age will be "x + 7" and Cary's age will be "(x + 6) + 7", which simplifies to "x + 13".
According to the problem, in 7 years the sum of their ages will be 96. So we can write the equation:
(x + 7) + (x + 13) = 96
Now let's solve this equation to find the value of "x", which represents Dan's current age:
2x + 20 = 96
Subtract 20 from both sides:
2x = 96 - 20
2x = 76
Now divide both sides by 2:
x = 76 / 2
x = 38
So Dan's current age (x) is 38 years old.
To find Cary's age, we can substitute Dan's age into the expression "x + 6":
Cary's current age = x + 6
Cary's current age = 38 + 6
Cary's current age = 44
Therefore, Dan is currently 38 years old and Cary is currently 44 years old.