SOLUTION: Mr. Jones is 4 years older than his wife and 31 years older than his son. their ages add up to a total of 82 years. Find how old Mr. Jones is and the ages of his wife and son.

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Mr. Jones is 4 years older than his wife and 31 years older than his son. their ages add up to a total of 82 years. Find how old Mr. Jones is and the ages of his wife and son.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 12255: Mr. Jones is 4 years older than his wife and 31 years older than his son. their ages add up to a total of 82 years. Find how old Mr. Jones is and the ages of his wife and son.
Answer by gsmani_iyer(201) About Me  (Show Source):
You can put this solution on YOUR website!

Let the age of Mr.Jones = x

So, the age of his wife = x-4 (wife is younger by 4 years)

and the age of his son = x-31 (son is younger by 31 years)

Sum of their ages = x + (x-4) + (x-31) = 82

= x + x - 4 + x - 31 = 82 (By removing the brackets)

= 3x - 35 = 82

= 3x = 117 (By adding 35 both the sides)
= x = 117%2F3 = 39

So the age of Mr.Jones = 39 yrs. |
the age of his wife = 39-4 = 35 yrs.|
and the age his son = 39-31 = 8 yrs.| Answer.


gsm