Question

The sum of ages of Priyanka and Deepika is $34$ years. Priyanka is elder to Deepika by $6$ years. Then find Priyanka's present age.

• A. $14$
• B. $26$
• C. $20$
• D. $8$

Answer 1

The correct option is C

$20$

Explanation for the correct answer:

Option(C):$20$

Let the age of Priyanka be $\mathrm{x}$ years and that of Deepika be $\mathrm{y}$ years. The sum of ages of Priyanka and Deepika is $34$ years.
$\mathrm{x}+\mathrm{y}=34$$...\left(1\right)$
Priyanka is elder to Deepika by 6 years.
$\mathrm{x}-\mathrm{y}=6$$....\left(2\right)$
Adding $\left(1\right)$ and $\left(2\right)$ we have
$2\mathrm{x}=40$

$\mathrm{x}=20$
Putting the value of $\mathrm{x}$ in (I) we have
$\mathrm{y}=14$
Thus, Priyanka's age $=20$ years and Deepika's age $=14$ years.

Hence, option(C)$20$is the correct answer

Explanation for the incorrect answer:

Option(A),Option(B) and Option(D):

By using the substitution method, Priyanka's age is calculated as $20$.

So,options(A),(B) and (D) are incorrect answers.

Therefore,option(C)is the correct answer.