Question 1097152

in 1996 Adam was 26years old and his mother was 66 years old,  in what year was adam exactly one-third of his mothers age.
<pre>Adam being {{{1/3}}} his mother's age is EXACTLY the same as saying the mother is 3 times Adam's age
Let number of years that the mother was 3 TIMES Adam's age be y
Then, the equation, based on the year 1996 is: 66 + y = 3(26 + y)
66 + y = 78 + 3y
66 - 78 = 3y - y
- 12 = 2y
Number of years that the mother was/will be 3 TIMES Adam's age, or: {{{highlight_green(matrix(1,5, y, "=", (- 12)/2, "=", - 6))}}}
Now, - 6 INDICATES 6 years BEFORE 1996, which was {{{highlight_green(matrix(1,3, The, year, 1990))}}}
ACCEPT no other answer!