Wiley Edge Ages Quiz-1

Solution:

The problem states that Archana is older than Shashi by 4 years. Let's assume Shashi's age as x. Therefore, Archana's age would be x+4.
The problem also provides the ratio of their ages as 3:6, or simplified as 1/2.
Setting up the equation, we have \frac{(x+4)}{x}= \frac{1}{2} .
To solve for x, we can cross-multiply, giving 2(x+4)=3x
Expanding the equation, we have 2x+8=3x. Subtracting 2x from both sides, we get 8=x.
Hence, we find that Shashi's age, denoted by x, is 8 years.
Therefore, Shashi is 8 years old.

Solution: Let's assume the present age of A as 3x and the present age of B as 7x, where x is a common factor. According to the given information, the difference between B's present age and A's age after 6 years is 4. This can be expressed as: (7x+6)-(3x+6)=4
Simplifying the equation: 7x+6-3x-6=4; 4x=4
Dividing both sides by 4: x=1
Now that we have the value of x, we can find the present ages of A and B
Present age of A = 3x=3*1=3 years Present age of B=7x=7*1=7 years
The total of A's and B's present ages is: 3+7=10 years
Therefore, the total of A's and B's present ages is 10 years.

Answer: The present ages of X and Y are in the ratio 5:9. Let's assume their ages as 5x and 9x, respectively, where x is a common factor.
The difference between Y's present age and X's age after 4 years is 12 which is expressed as (9x+4)-(5x+4)=12
Simplifying the equation, we get 4x = 12.
Dividing both sides by 4, we find that x=3
By substituting x = 3 back into the expressions for X and Y's ages, we find that X's present age is 5*3=15 years, and Y's present age is 9*3=27 years.
To find the total of X and Y's present ages, we add 15 and 27, resulting in a total of 42 years. Therefore, the total of X and Y's present ages is 42 years.

Answer: The present ages of P and Q are in the ratio 2:3. Let's assume their ages as 2x and 3x, respectively. The problem states that the difference between Q's present age and P's age after 5 years is 7.
We can express this as (3x+5)-(2x+5)=7.
Simplifying the equation, we get x = 7.
By substituting x = 7 back into the expressions for P and Q's ages, we find that P's present age is 2*7=14 years, and Q's present age is 3*7=21 years.
Therefore, the total of P and Q's present ages is 35 years.

Solution:
Let's assume John's present age as J and Alice's present age as A.
From the given information, we have J + A = 40 and J-5=3(A-5).
Solving these equations, we find John's current age to be 25 and Alice's current age to be 15.

Solution:
Let's assume Tom's age as 3x and Jerry's age as 7x.
From the given information, we have 7x-3x=12.
Solving this equation, we find Tom's current age to be 6 and Jerry's current age to be 14.

Solution:
We are given that the sum of the ages of a father and his son is 48.
Let's assume the son's age as x. The problem states that the father is four times older than the son. So, the father's age would be 4x.
To find their ages, we set up the equation x+4x=48
Simplifying the equation, we get 5x = 48.
Dividing both sides by 5, we find x = 9.6.
Since the son's age cannot be a decimal, we adjust our assumption and take the son's age as 10.
By substituting x = 10 back into the equation, we find that the father's age is 4* 10 = 40.

Answer:

Let's assume their ages as 4x and 11x, respectively, where x is a common factor.
The problem states that the difference between S's present age and R's age after 3 years is 21. We can express this as (11x+3)-(4x+3)=21.
Simplifying the equation, we get 7x=21.
Dividing both sides by 7, we find that x = 3
By substituting x = 3 back into the expressions for R and S's ages, we find that R's present age is 4*3 = 12 years, and S's present age is 11*3 = 33 years.
To find the total of R and S's present ages, we add 12 and 33, resulting in a total of 45 years. Therefore, the total of R and S's present ages is 45 years.

Solution:
Let's assume Jack's age as 3x and Jill's age as 5x.
From the given information, we have \frac{(3x-5)}{(5x-5))}= \frac{3}{5} and 3x+5x=40.
Solving these equations, Jack's current age to be 12 and Jill's current age to be 20.

Solution:

Let's assume the daughter's age as D.
From the given information, we have 4D+ D = 40.
Solving this equation, we find the daughter's current age to be 8 and the mother's current age to be 32.