Question

the sum of ages of priyanka and deepika is 34 years priyanka is elder to deepika by 6 years then find their todays ages.


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Answer 1

Answer:

Priyanka age = 20 yrs

Deepika age = 14 yrs

Step-by-step explanation:

let the age of Deepika = x

Priyanka is 6 yr elder than Deepika therefore her age will be = (x+6)

Sum of their ages = 34

therefore x+(x+6) = 34

2x+6 = 34

2x = 28

x = 14

therefore age of Deepika is x = 14 yrs

and age of Priyanka is x+6 = 14+6 = 20 yrs

Answer 2

Answer:

let today age of priyanka be x years

and deepika be y years

from the given first equation

x+y= 34 ----------1]

from the given second equation

x - y = 6 ----------2]

adding equation 1] and 2]

x + y = 34

+x - y = 6

--------------

2x      = 40

2x = 40

x = 40\2

x = 20

substitude

x= 20 in equation 1]

20 + y = 3 y

y = 34 - 20

y = 14

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