1) the sum of the ages of Seeta and Geeta is 29 years Sita is three years younger than Geeta find their present ages
Answers
Answer:
- Present age of Seeta = 13 years
- Present age of Geeta = 16 years
Explanation:
Given information,
The sum of the ages of Seeta and Geeta is 29 years. Seeta is three years younger than Geeta. Find their present ages.
- Sum of ages of Seeta and Geeta = 29 years
- Seeta is younger than Geeta by = 3 years
Let,
- Present age of Geeta = y years
- As it is stated in question that Seeta is three years younger than Geeta. So, Present age of Seeta = (y - 3) years
According to the Question,
- Sum of ages of Seeta and Geeta = 29 years
Therefore,
➻ y + (y - 3) = 29
➻ y + y - 3 = 29
➻ 2y - 3 = 29
➻ 2y = 29 + 3
➻ 2y = 32
➻ y = 32/2
➻ y = 16
- Henceforth, present age of Geeta is 16 years.
Now,
➻ Present age of Seeta = (y - 3) years
Putting value of y,
➻ Present age of Seeta = (16 - 3) years
➻ Present age of Seeta = (13) years
➻ Present age of Seeta = 13 years
- Henceforth, present age of Seeta is 13 years.
Verification,
- Sum of ages of Seeta and Geeta = 29 years
Therefore,
➻ y + (y - 3) = 29
Putting value of y,
➻ 16 + (16 - 3) = 29
➻ 16 + (13) = 29
➻ 16 + 13 = 29
➻ 29 = 29
➻ LHS = RHS
- Hence, Verified ✔
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Question:-
The sum of the ages of Seeta and Geeta is 29 years Sita is three years younger than Geeta find their present ages.
Solution:-
Let,
- Present age of Seeta = x
- Present age of Geeta = x + 3
- The sum of the ages of Seeta and Geeta is 29 years.
★ According to the Question :
⇒ x + (x + 3) = 29
⇒ 2x + 3 = 29
⇒ 2x = 29 - 3
⇒ 2x = 26
⇒ x = 26/2
⇒ x = 13
- Present age of Seeta = 13 years
- Present age of Geeta = x + 3
⇒ x + 3
⇒ 13 + 3
⇒ 16
Present age of Geeta = 16 years
Answer:-
Therefore,
Present age of Seeta = 13 years
Present age of Geeta = 16 years.
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