Problems Based on years ago Ages Shortcut Tricks

Problems Based on years ago Ages Shortcut Tricks:
Problem based on years ago Ages is an very important topic which is given most of the competitive exams.You can easily solve all kind of Aptitude questions based on Problems on years ago Ages by practicing regularly.Before going to solve the problem on ages you need to know the linear equation which help in math but first you are do traditional process than you learn ages shortcut tricks.



Solv Problems Based on years ago Ages in Traditional:
Example 1:
The present ratio of ages of P & Q is 4 : 6. If the sum of present ages of A & B is 50 years. Find the ages of P & Q before 4 years.

First we do Traditional way than we do shortcut way.
Ans: Let ages of P & Q is x, so P & Q ages are 4x and 6x Gradually.
Now according to question Sum of present ages , 4x + 6x = 50, 10x = 50, x = 5 years, (We got the value of x = 5)
And than the present age of P is = 4x = 4 x 5 = 20 years. So, years ago the age of P = ( 20 - 4 ) = 16 years, and present  age of Q is = 6x = 6 x 5 = 30 years.So, years ago the age of Q = (30 - 4 ) = 26 years.



Problems Based on years ago Ages Shortcut Tricks:
Example :
The present ratio of ages of P & Q is 4 : 6. If the sum of present ages of A & B is 50 years. Find the ages of P & Q before 4 years.
Answer :

Step 1: P : Q = 4 : 6 , According to Question Sum of  present ages ( P + Q ) = 50 years.
Step 2: Present age of P = ( 50 / 10 ) x 4 = 5 x 4 = 20, Present age of Q = ( 50 / 10 ) x 6 = 5 x 6 = 30 years,
Step 3: 4 years ago age of P is = ( 20 - 4 ) = 16 years,4 years ago age of Q is = ( 30 - 4 ) = 26 years.






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