Math, asked by malwaderohan, 2 months ago

the sum of ages of priyanka and deepika is 45 years . deepika is younger than priyanka by 15 years. find their ages​

Answers

Answered by kamakshinegi68
2

Step-by-step explanation:

Let the age of Priyanka be x years and that of Deepika be y years. The sum of ages of Priyanka and Deepika is 34 years. Priyanka is elder to Deepika by 6 years. Thus, Priyanka's age = 20 years and Deepika's age = 14 years.

Answered by Anonymous
4

Answer :

  • Present age of Priyanka is 25.5 years
  • Present age of Deepika is 19.5 years

Given :

  • The sum of ages of Priyanka and Deepika s 45 years
  • Deepika s younger than Priyanka by 15 years

To find :

  • Ages

Solution :

  • Let the present age of Priyanka be x
  • Let the present age of Deepika be y

The sum of ages of Priyanka and Deepika is 45 years so,

》x + y = 45

x + y = 45 ...eq(1)

And also given , Deepika is younger than Priyanka by 15 years so,

》x = y + 6

》x - y = 6

x - y = 6 ....eq(2)

Now , Adding equation (1) and (2) we get,

》x + y = 45 + x - y = 6

》2x = 51

x = 25.5

Now , Substituting x = 25.5 in eq (1) we get,

》x + y = 45

》25.5 + y = 45

》y = 45 - 25.5

y = 19.5

Hence,

  • Present age of Priyanka is 25.5 years
  • Present age of Deepika is 19.5 years

Verification :

》x + y = 45

Where , x = 25.5 and y = 19.5

》25.5 + 19.5 = 45

45 = 45

Hence , Verified.

Similar questions