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
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
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