Answer to Question #4105 in Algebra for Tarra

Question

The sum of Richard's age and his older brother's age is 63. The difference between their ages is thirteen. How old are Richard and his brother?

Answer 1

Denote Richard's age as X years, therefore his older brother age would be X + 13 years.
Thus
X + X +13 = 63
2X = 50
X = 25
X + 13 = 38
Answer: Richard is 25 years old, his older brother is 38 years old.