Question

The difference between the present ages of P and Q is 8 and their ratio is 2 : 3 respectively. What is P’s present age?

Answer 1

Answer:

Given :

The ratio of present age of p and q is 2:3

The difference between present ages of p and q is 8 years

To Find :

what is p's age?

Solution:

We are given that The ratio of present age of p and q is 2:3

Let the ratio be x

So, present age of p = 2x

So, Present age of q = 3x

We are also given that The difference between present ages of p and q is 8 years

So,3x-2x=8

x=8

So, present age of p = 2x =2(8)=16

Hence the present age of p is 16 year

Step-by-step explanation:

Answer 2

Answer:

Present age of P is $16$ years .

Step-by-step explanation:

To find :  present age of P .

Given : The difference between the present ages of P and Q is 8 and their ratio is 2 : 3 respectively .

Solution :

• As per given data we know that ,The difference between the present ages of P and Q is 8 and their ratio is 2 : 3 respectively .
• Let , age of P and Q be , $2x , 3x$ respectively .
• According to given condition we know that difference is positive integer therefore we write as , $3x-2x = 8$  ,
• Using transposition method we find the value of $x$ , by transposing constant at RHS and leaving variable at LHS .

         $3x-2x = 8\\\\x = 8$  

• Now , age of  P = $2x = 2\times 8 = 16$ years .

                  Age of Q= $3x = 3\times 8 = 24$ years .