To solve the problem, let's first define the variables for the present ages of Bunty and Bubbly. Let \(x\) be the present age of Bunty, and \(y\) be the present age of Bubbly.
According to the problem:
- The sum of the present ages of Bunty and Bubbly is 64 years. Hence, we have the equation: \(x + y = 64\).
- After 2 years, Bunty's age will be 3 times that of Bubbly's age. This gives us the equation: \((x + 2) = 3(y + 2)\).
We now have two equations to work with:
- \(x + y = 64\) (Equation 1)
- \(x + 2 = 3(y + 2)\) (Equation 2)
Let's simplify Equation 2:
\(x + 2 = 3y + 6\)
Rearranging gives: \(x = 3y + 4\) (Equation 3)
Now, substitute Equation 3 into Equation 1:
\(3y + 4 + y = 64\)
Combine like terms:
\(4y + 4 = 64\)
Subtract 4 from both sides:
\(4y = 60\)
Divide by 4:
\(y = 15\)
Now that we have Bubbly's age, substitute \(y = 15\) back into Equation 1 to find Bunty's age:
\(x + 15 = 64\)
Subtract 15 from both sides:
\(x = 49\)
Thus, Bunty's present age is 49 years.
Therefore, the correct answer is 49.
Similar Questions
- Among five people named V, W, X, Y and Z, each have a certain age. Y is four times the age of X. V is two times the age of X. Y is five times the age of W. The age of W is 12. If Z is thrice the age of V, what is the age of Z?
- Among five people named V, W, X, Y and Z, each have a certain age. The age of X is 12. V is four times the age of Z. Y is half the age of V. W is thrice the age of X. If Z is one ninth the age of W, what is the age of Y?
- Consider the given question and decide which of the following statements is sufficient to answer the question.
What is the birth year of Mr. Rajesh?
Statements:
1. At present Mr. Rajesh is 25 years younger to his father
2. Mr. Rajesh’s sister who was born on 1974 is 35 years younger to his father - 15 years ago, Shyam was twice as old as Prabhat. Five years from now Prabhat’s age will be $\frac{5}{8}$ of Shyam’s age. What is Shyam’s current age?
Important Questions from Problem on Age
The average age of a husband and his wife was 20 years at the time of their marriage. After 6 years, they have a 2 -year old child. Find the present average age of the family.
The ratio of the ages of A, B and C, 5 years ago, was 4 : 5 : 7. The sum of their present ages is 135 years. What will be the sum of the ages (in years) of B and C, 3 years from now?
The ratio of the present age of Mahesh and Ajay is 3 : 2 respectively. After 8 years. Ratio of their age will be 11: 8. What will be the present age of Mahesh’s son if his age is half of the present age of Ajay?
In a school, the average age of boys and girls together is 16.8 years, the average age of boys is 15.4 years, and the average age of girls is 18.2 years. The ratio of number of boys to girls in the school is:
The difference between age of Sunita and Sheela is 12 years. If 9 years ago, elder's age was 4 times of younger's age, then what are their present age?
A. 11 and 23
B. 15 and 27
C. 13 and 25
D. 23 and 35
