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​

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

Answers ( )

  1. Mary
    0
    2021-07-19T03:31:19+00:00
    Reply

    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

  3. Isabella
    0
    2021-07-19T03:31:26+00:00
    Reply

    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.

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