Cary is 4 years older than Dan. In 7 years the sum of their ages will be 76

Ages of Dan and Cary are 29 and 33 respectively.

Step-by-step explanation:

Step 1:

Form equations out of the given details. Let the age of Dan be x, then age of Cary is x + 4.

In 7 years, sum of their ages = 76

⇒ (x + 7) + (x + 4 + 7) = 76

⇒ 2x + 18 = 76

⇒ 2x = 58

⇒ x = 29

Step 2:

Calculate age of Cary.

⇒ x + 4 = 33