# The sum of ages of Priyanka and Deepika is 34 years. Priyanka is elder to Deepika by 6 years. Then find their today's ages.

Let the ages of Priyanka and Deepika be 'x' and 'y' respectively.

Given,

Sum of ages is 34

x + y = 34

y = 34 - x eq.[1]

Also, Priyanka is elder to Deepika by 6 years

x = y + 6

Using eq.[1] we have

x = 34 - x + 6

2x = 40

x = 20

Putting this value in eq.[1]

y = 34 - 20 = 14 years.

Hence, Age of Priyanka = x = 20 Years

Age of Deepika = y = 14 years.

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