Solving Bunty and Bubbly's Age Problem
We need to find Bunty's current age based on the given information about the sum of their present ages and their ages after 2 years.
Setting Up the Equations
Let Bunty's present age be \(B\) years and Bubbly's present age be \(L\) years.
- From the first statement, the sum of their present ages is 24 years: \(B + L = 24\) (Equation 1)
- After 2 years, Bunty's age will be \(B + 2\) and Bubbly's age will be \(L + 2\).
- From the second statement, after 2 years, Bunty's age will be three times Bubbly's age: \(B + 2 = 3 \times (L + 2)\) \(B + 2 = 3L + 6\) \(B = 3L + 4\) (Equation 2)
Calculating Bunty's Present Age
Now, we solve the system of two equations.
- Substitute the expression for \(B\) from Equation 2 into Equation 1: \((3L + 4) + L = 24\)
- Simplify and solve for \(L\): \(4L + 4 = 24\) \(4L = 24 - 4\) \(4L = 20\) \(L = \frac{20}{4}\) \(L = 5\) So, Bubbly's present age is 5 years.
- Substitute the value of \(L\) back into Equation 1 to find \(B\): \(B + 5 = 24\) \(B = 24 - 5\) \(B = 19\)
Alternatively, substitute \(L=5\) into Equation 2:
\(B = 3 \times 5 + 4\)
\(B = 15 + 4\)
\(B = 19\)
Conclusion
Bunty's present age is 19 years.
Similar Questions
The sum of the ages of a mother, son, and daughter is 70 years. If the mother is thrice as old as her son, and the daughter is 5 years older than her brother, how old is the mother?
The ages of Anita and Sunita differ by 30 years. If 5 years ago, Anita was 3 times as old as Sunita, then the present age of Sunita is:
The present ages of three persons are in the ratio 4 : 5 : 6. Eight years ago, the sum of their ages was 51. Find the present age of the eldest person.
The sum of the ages of Yash and his father is 90 years. When Yash is as old as his father’s present age, he will be five times as old as his son Suraj’s present age. Suraj will be 12 years older than Yash’s present age, when Yash is as old as his father at present. How old is Suraj at present?
- The sum of the ages of a grandfather, his son, and his grandson is 128 years. The grandfather is twice as old as his son, and the son is five times as old as the grandson. Determine the age (in years) of the grandson.
- 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?
- The sum of the present ages of Bunty and Bubbly is 64 years. After 2 years from now, Bunty's age will be three times that of Bubbly's age. Bunty's present age (in years) is:
- Among five people named V, W, X, Y and Z, each have a certain age. X is twice the age of V. V is three times the age of Y. Y is one-fifth the age of W. The age of W is 15. If Z's age is equal the age of X, what is the age of Z?
- Among five people named V, W, X, Y and Z, each have a certain age. X is thrice the age of V. The age of V is 12. Y is half the age of Z. W is twice the age of Y. If Z's age is equal to the age of X, what is the age of W?
- The sum of the present ages of Kamlesh and Prathmesh is 52 years. After 2 years from now, Kamlesh's age will be three times that of Prathmesh's age. Kamlesh's present age (in years) is:
Important Questions from Problem on Age
The ratio of present ages of Neelam and Rajni is 6 : 7. After four years, their ages will be in the ratio of 8 : 9. What is the present age of Rajni?
Five years ago the age of the son was one third of that of his mother at that time. If the sum of their present ages is 70 years, then find the present age of the mother.
Jaya is 36 years old and her son Bharat is 11 years old. In how many years will Jaya be twice as Bharat's age?
Five years ago, father's age was 5 times that of his son and after 3 years he will be 3 times as old as his son. Find the present age of son.
The ratio of a father's age to his son's age is 3 ∶ 2 The product of the numbers representing their age is 486. The ratio of their ages after 5 years will be:
