## Problems Based on Present Age Shortcut Tricks

**Example 1 :**

Ratio of ages of M & N 4 years ago was 3 : 5. If the sum of present ages of M & N is 64 years than , Find the present ages of M & N.

**Answer:**

Let the ages is M & N 4 years ago are 3x and 5x.

Hence,

( 3x + 4 )+( 5x + 4 ) = 64 years,

= 8x + 8 = 64, = 8x = 56, x = 7. ( we get the value of x).

So the age of M , 4 years ago = 7 x 3 = 21years,

and the age of N, 4 years ago = 7 x 5 = 35 years.

Now the present age of M is = ( 21 + 4 ) = 25 years,

and present age of N is = ( 35 + 4) = 39 years.

**Example 2 :**

Ratio of ages of M & N 4 years ago was 3 : 5. If the sum of present ages of M & N is 64 years than , Find the present ages of M & N.

**Answer :**

**Step1:** M : N = 3 : 5 , According to Question ( P + Q ) = 64 years.

Sum of both ages 4 years ago is ( 64 – 8 ) = 56 , (say that before age that’s why subtract)

**Step2: ** M = ( 56 / 8 ) x 3 = 7 x 3 = 21 years

and N = (56 / 8 ) x 5 = 5 x 7 = 35 years,

**Step3:** present age of M = ( 21 + 4 ) = 25 years

and present age of N = ( 35 + 4 ) = 39 years.

**Example 3 :**

At present , the ratio between the ages of Anil and Anu is 4 : 3 . After 4 years , Anil’s age will be 24 years . What is the age of Anu at present ?

**Answer :**

Let the present age of Anil and Anu is 4x years and 3x years respectively.

So , After 4 years Anil’s age ,will be 24 ,

4x + 4 = 24

4x = 20

x = 5

So , Anu present age is 3x = 3 x 5 = 15 years .

**Example 4 :**

The total age of gangotri ,sabir, and bibhas is 96 years.10 years ago , the ratio of their ages was 2 : 4 : 5.What is the present age of bibhas?

**Answer :**

Step 1: Let 10 years before gangotri, sabir, and bibhas ages 3x, 4x, 5x years respectively.

Then ( 2x + 10 ) + ( 4x + 10 ) + ( 5x + 10 ) = 96,

= 11x = 66 = x = 6.

Step 2: Bibhas present age is ( 5x + 10 ) = ( 5 x 6 + 10 ) = 40 years.

**Example 5:**

Present age of Ramesh and Suresh are in ratio 5 : 6 respectively . Six years hence , the ratio of their ages will become 6 : 7 respectively . What is Ramesh present age in years ?

**Answer :**

Let the present age of Ramesh and Suresh 5x and 6x years respectively.

So , 5x + 6 / 6x + 6 = 6 / 7

7(5x + 6) = 6 (6x + 6)

36x + 36 = 35x + 42

x = 6

Ramesh’s present age is 5x = 5 x 6 = 30 years .

**Example 6:**

Seven years ago , the age ratio of Sonu and Monu was 6 : 5 . Three years hence , the ratio of their ages will be 11 : 10 . What is Monu ‘s age at present ?

**Answer :**

Let the age of Sonu and Monu 7 years ago be 6x and 5x years respectively .

So, (6x + 7) + 3 /(5x + 7 ) + 3 = 11 / 10

10 ( 6x + 10) = 11 ( 5x + 10 )

5x = 10

x = 2

So, Monu’s present age = ( 5x + 7 ) = 17 years .

**Example 7 :**

twelfth years hence , Rahul will be just five times as old as he was 12 years ago , His present age is ?

**Answer :**

Let Rahul present age be x years .

Rahul age 12 years ago = ( 12 – x ) years and his age 15 years hence = ( 12 + x ) .

So , (12 + x ) = 5 ( 12 – x )

12 + x = 60 – 5x

6x = 48

x = 8

So , Rahuls present age is 8 years .