1️⃣ If a person is 20 years old now, how old will they be in 5 years?
Step-by-Step Explanation
Current age = 20 years.
Age in 5 years = Current age + 5 years.
Age in 5 years = 20 + 5 = 25 years.
Answer: 25 ✅
2️⃣ If a person was 15 years old 3 years ago, how old are they now?
Step-by-Step Explanation
Age 3 years ago = 15 years.
Current age = Age 3 years ago + 3 years.
Current age = 15 + 3 = 18 years.
Answer: 18 ✅
3️⃣ If a child is half the age of their 10-year-old sibling, how old is the child?
Step-by-Step Explanation
Sibling's age = 10 years.
Child's age = Sibling's age / 2.
Child's age = 10 / 2 = 5 years.
Answer: 5 ✅
4️⃣ If a person will be 30 years old in 10 years, how old are they now?
Step-by-Step Explanation
Age in 10 years = 30 years.
Current age = Age in 10 years - 10 years.
Current age = 30 - 10 = 20 years.
Answer: 20 ✅
5️⃣ If a person's age is twice their 8-year-old sibling's age, how old is the person?
Step-by-Step Explanation
Sibling's age = 8 years.
Person's age = Sibling's age * 2.
Person's age = 8 * 2 = 16 years.
Answer: 16 ✅
6️⃣ The sum of the ages of A and B is 40 years. If A is 18 years old, how old is B?
Step-by-Step Explanation
Age of A + Age of B = 40 years.
Age of A = 18 years.
Age of B = 40 - 18 = 22 years.
Answer: 22 ✅
7️⃣ A is twice as old as B. If B is 15 years old, how old is A?
Step-by-Step Explanation
Age of B = 15 years.
Age of A = 2 * Age of B.
Age of A = 2 * 15 = 30 years.
Answer: 30 ✅
8️⃣ The ratio of the ages of X and Y is 3:5. If X is 12 years old, how old is Y?
Step-by-Step Explanation
Ratio of ages of X:Y = 3:5.
Age of X = 12 years.
3 parts = 12 years.
1 part = 12 / 3 = 4 years.
5 parts = 5 * 4 = 20 years.
Age of Y = 20 years.
Answer: 20 ✅
9️⃣ 10 years ago, A's age was half of B's age. If the ratio of their present ages is 3:4, what is the sum of their present ages?
Step-by-Step Explanation
Let A's present age be 3x and B's present age be 4x.
10 years ago, A's age was 3x - 10 and B's age was 4x - 10.
3x - 10 = (1/2)(4x - 10).
6x - 20 = 4x - 10.
2x = 10.
x = 5.
A's present age = 3 * 5 = 15 years.
B's present age = 4 * 5 = 20 years.
Sum of present ages = 15 + 20 = 35 years.
Answer: 35 years ✅
🔟 The present age of a father is four times the present age of his son. Five years ago, the father's age was seven times the age of his son at that time. If after 'n' years, the ratio of their ages becomes 13:4, find the value of 'n'.
Step-by-Step Explanation
Let the son's present age be 'x' years. Then the father's present age is '4x' years.
Five years ago: 4x - 5 = 7(x - 5) => x = 10 years.
Present ages: Son is 10 years, father is 40 years.