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


Question

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

20

14

34

18​

in progress 0
Katherine 10 months 2021-07-19T03:30:17+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-07-19T03:31:19+00:00

    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

    0
    2021-07-19T03:31:26+00:00

    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.

     \sf x + (x + 6) = 34

    Removing the brackets,

     \sf x + x + 6 = 34

    Adding the variables,

     \sf2x + 6 = 34

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

     \sf2x = 34 - 6

    Subtracting 6 from 34,

     \sf2x = 28

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

     \sf x =  \dfrac{28}{2}

    Dividing 28 by 2,

      \overline{\boxed{ \sf x = 14}}

    • The value of x is 14.
    • It means that Deepika’s age is 14 years.

    —————-

    Hence, Priyanka’s age is :

     \bf x + 6 = 14 + 6 = 20.

Leave an answer

Browse

9:3-3+1x3-4:2 = ? ( )