Question

19. The ages of three persons P, Q and R are in the ratio
2:5: 9. If the difference of the ages of P and R is
21 years, find the age of Q.
(1) 16 (2) 17 (3) 15 (4) 18​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Age of Q person $= 15$ $years$

Explanation:

Let the age of person $P$ $= 2x$ years

Let the age of person $Q = 5x$ years

Let the age of person $R = 9x$ years

According to question,

The difference of the ages of $P$ and $R$ is $21$ years.

$|2x-9x| = 21years$

          $7x = 21$

           $x = \frac{21}{7}$

           $x = 3years$

Therefore, the age of  $Q = 5x$

                                       $= 5* 3$  

                                    $= 15 years$

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