The sum of ages of Priyanka and Deepika is 34.Priyanka is elder to Deepika by 6 years.then find Priyanka’s age .

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1. Question:

   The sum of ages of Priyanka and Deepika is 34.Priyanka is elder to Deepika by 6 years.then find Priyanka’s age

   Answer:

   X + y = 34

   x – y = 6

   34 + 6 = 40

   2x = 40

   X = 20

   20 – 6 = 14

   Priyanka age = 14

   Reply

2. Answer :–

   • Priyanka’s age is 20 years.

   Given :–

   • The sum of ages of Priyanka and Deepika is 34.
   • Priyanka is elder than Deepika by 6 years.

   To find :–

   • Priyanka’s age.

   Step-by-step explanation :–

   • Let Deepika’s age be “x”.

   • Priyanka is elder than Deepika by 6 years, so her age will be “x + 6”.

   • It has been given that the sum of their ages is 34. It means that the sum of x and x + 6 is 34.

   ––––––––––––––––

   [tex] \sf x + (x + 6) = 34[/tex]

   Removing the brackets,

   [tex] \sf x + x + 6 = 34[/tex]

   Adding the variables,

   [tex] \sf2x + 6 = 34[/tex]

   Transposing 6 from LHS to RHS, changing it’s sign,

   [tex] \sf2x = 34 – 6[/tex]

   Subtracting 6 from 34,

   [tex] \sf2x = 28[/tex]

   Transposing 2 from LHS to RHS, changing it’s sign,

   [tex] \sf x = \dfrac{28}{2} [/tex]

   Dividing 28 by 2,

   [tex] \overline{\boxed{ \sf x = 14}}[/tex]

   • The value of x is 14.

   • It means that Deepika’s age is 14 years.

   —————-

   Hence, Priyanka’s age is :–

   [tex] \bf x + 6 = 14 + 6 = 20.[/tex]

   Reply