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

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

X + y = 34

x – y = 6

34 + 6 = 40

2x = 40

X = 20

20 – 6 = 14

Priyanka age = 14

• 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. Removing the brackets,  Transposing 6 from LHS to RHS, changing it’s sign, Subtracting 6 from 34, Transposing 2 from LHS to RHS, changing it’s sign, Dividing 28 by 2, • The value of x is 14.
• It means that Deepika’s age is 14 years.

—————-

Hence, Priyanka’s age is : 