SOLUTION: A father is 10 years older than three times his son's age. The sum of their ages is 58. What is the difference between the father's age and his son's?

Question 347931: A father is 10 years older than three times his son's age.
The sum of their ages is 58. What is the difference between the father's age and his son's?

Answer by hellen(1) (Show Source): You can put this solution on YOUR website!
Son's age is x.
Dad's age would be 3x+10 because he is 10 years older than 3 times the son's age.
The total age is 58.
Therefore: x+3x+10=58
4x+10=58 (add x+3x)
4x=48 (subtract 10 from each side)
x=12 (divide each side by 4)
Therefore the son is 12 years old. The dad is 46 years old. The difference in their ages is 34.
RELATED QUESTIONS
A father is 25 years older than his son. Today, the sum of their ages is 55 years. What... (answered by mananth)

if a father is 20 years older than his son. What is the sum of their ages seven years... (answered by Alan3354)

a father is 25 years older than his son. The sum of their ages is 53 years. Find their... (answered by Ash14)

a father is 25 years older than his son. the sum of their ages is 53 years find their... (answered by ikleyn)

John's age is 2 years, less than three times Paul his son,s age. His son Mark is 15... (answered by josmiceli,drj)

the present age of a father is three years more than three times the age of his son.... (answered by ankor@dixie-net.com)

A father is 24 years older than his son. In 7 years, the son's age will be 2/5 that of... (answered by lwsshak3)

A father is 24 years older than his son. In 7 years, the son's age will be 2/5 that of... (answered by TimothyLamb)

The age of the son and father in the ration of 3:10 .if the father is 56 years older than (answered by Theo)