The age of Hamisi is 1/3 of the age of Sonia. If the sum of their ages five years ago was 54 years. Find the present age of Sonia
Answers
Given:
The age of Hamisi is 1/3 of the age of Sonia.
Sum of their ages five years ago was 54 years.
To Find:
Present age of Sonia
Solution:
Let the present age of Sonia be = x
And present age of Hamisi be = y
Now ATQ
The age of Hamisi is 1/3 of the age of Sonia.
y = x/3
x = 3y ...(1)
Five years ago
Sonia's age = x - 5
Hamisi's age = y - 5
Sum of their ages five years ago was 54 years.
(x - 5) + (y - 5) = 54
x + y = 64 ...(2)
Solving equation (1) and (2) we get
=> x + y = 64
=> 3y + y = 64
=> 4y = 64
=> y = 16
=> x = 48
Hence, Present age of sonia is 48 years.
Answer:
✯ Given :-
- The age of Hamisi is ⅓ of the age of Sonia.
- The sum of their five years ago was 54 years.
✯ To Find :-
- What is the present age of Sonia.
✯ Solution :-
» Let, the present age of Sonia be x and the present age of Hamisi be y
» Now, the age of Hamisi is ⅓ of the age of Sonia,
⇒ y =
⇒ x = 3y ...... Equation no (1)
Then, before five years ago their age will be,
➙ Sonia's age is x - 5
➙ Hamisi's age is y - 5
And, the sum of their age is 54 years
➣ According to the question,
⇒ (x - 5) + (x + 5) = 54
⇒ x + y = 54 + 10
⇒ x + y = 64 ..... Equation no (2)
↦ By solving the equation no (1) and (2) we get,
⇒ 3y + y = 64
⇒ 4y = 64
⇒ y =
➠ y = 16
➲ Present age of Sonia = (64 - 16) = 48