Age Calculation Problem
We are given the ages of five people: V, W, X, Y, and Z. We know X's age is 30 and have several relationships between their ages. The goal is to find Y's age.
Finding Z's Age
We are told that Z is half the age of X. Since X's age is 30, we can calculate Z's age:
\( Z = \frac{X}{2} \) \( Z = \frac{30}{2} \) \( Z = 15 \) So, Z is 15 years old.
Finding W's Age
The problem states that Z is five times the age of W (\(Z = 5 \times W\)). Using Z's calculated age (15), we find W's age:
\( 15 = 5 \times W \) \( W = \frac{15}{5} \) \( W = 3 \) Therefore, W is 3 years old.
Finding V's Age
We are given that V is four times the age of W (\(V = 4 \times W\)). Using W's age (3), we calculate V's age:
\( V = 4 \times 3 \) \( V = 12 \) So, V is 12 years old.
Finding Y's Age
Finally, we are told that Y is twice the age of V (\(Y = 2 \times V\)). Using V's age (12), we find Y's age:
\( Y = 2 \times 12 \) \( Y = 24 \) Thus, Y is 24 years old.
The age of Y is 24.
Similar Questions
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?
- 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?
- 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 - 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. 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:
- 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:
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:
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?
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:
X said to Y, "At the time of your birth I was twice as old as you are at present." If the present age of X is 42 years, then consider the following statements:
1. 8 years ago, the age of X was five times the age of Y.
2. After 14 years, the age of X would be two times the age of Y.
Which of the above statements is/are correct?
The total of the ages of Niraj, Umesh and Dhiraj is 93 years. Ten years ago, the ratio of their ages was 2 : 3 : 4 respectively. What is the present age of Dhiraj ?
A father is nine times as old as his son and the mother is eight times as old as the son. The sum of the father's and the mother's age is 51 years. What is the age of the son ?
