Question 1207400
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A formal algebraic solution....<br>
Let x be the age of Kenneth's father
Then x-36 is Kenneth's age<br>
x+7 = father's age in 7 years
(x-36)+7 = x-29 = Kenneth's age in 7 years<br>
In 7 years, the father's age will be twice Kenneth's age:<br>
x+7=2(x-29)
x+7=2x-58
65=x<br>
ANSWER: 65<br>
CHECK: x+7=65+7=72; x-29=65-29=36; 72=2*36<br>
Informally (using logical reasoning and simple mental arithmetic, which is good exercise)....<br>
The difference in their ages is 36; when the father is twice as old, their ages will be 72 and 36.  That will be 7 years from now, so the father's age now is 72-7 = 65<br>