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​

Answer 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

Answer 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.

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$\sf x + (x + 6) = 34$

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.

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Hence, Priyanka's age is :-

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