Lesson Age problems for mental solution

Age problems for mental solution

Problem 1

The difference in their ages is, was and will be 30-22 = 8 years.


Hence, Roni was twice as old as Grace, when Grace was 8 years old and Roni was 16 years old.  


It was 22-8 = 14 years ago.      ANSWER


Roni was 30-14 = 16 years old then.

Problem 2

Fourteen years ago, Kres was 7 years older than Kyle and twice as old as Kyle, at the same time.


Hence, 7 years ago  Kres was 14 years old, while Kyle was 7 years old.


THEREFORE, their current ages are 14 years more, i.e. 28 and 21 years, respectively.    ANSWER

Problem 3

The age difference between them is 29 years and remains to be constant forever.


So, 7 years ago Sarah's age was 58 years and Ethan age was 29. 


Thus their present ages are 58 + 7 = 65 for Sarah and 29 + 7 = 36 for Ethan.     ANSWER

Problem 4

1.  A is 5 years older than R,

         and this age difference will be always in place.


2.  Four years later A will be twice as old as R.

         Hence, four years later A will be twice as old as R  AND  (according to n.1) A will be 5 years older than R, at the same time.


         It means that 4 years later A will be 10 years old, while R will be 5 years old.      ANSWER


3.  Hence, their present ages are 6 years for A and 1 year for R.

Problem 5

The combined age of three persons increases by 3 years in one year, which is totally obvious.


Hence, if their combined age last year was 3/4 of their combined age this years,

it means that 1/4 of their combined age this year is 3 years.


It, further, implies that their combined age this year is 12 years.


Next, the problem says that Roel is as old as the combined age of his two brothers.

Hence, Roel age is 6 years, which is half of 12 years and is exactly the sum of ages of the two other brothers.


One more step further.  The two younger brothers combined age is 6 and John is two years older than Oski.


It gives you the 


ANSWER.  Roel is 6 years old;  John is 4 years old and Oski is 2 years old.