Wiley Edge Ages Quiz-2

Solution:

Let's assume Sam's age three years ago as 2x and Kate's age three years ago as 5x.
From the given information, we have \frac{(18-3)}{(5x-3)}= \frac{2}{5}.
Solving this equation, we find Kate's current age to be 15.

Answer: We are given that the present ages of U and V are in the ratio 3:8. Let's assume their ages as 3x and 8x, respectively. The problem states that the difference between V's present age and U's age after 7 years is 24. We can express this as (8x+7)-(3x+7)=24.
Simplifying the equation, we get 5x = 24.
Dividing both sides by 5, we find x = 4.8.
Since the ages cannot be in decimal values, we adjust our assumption and take x = 5.
By substituting x = 5 back into the expressions for U and V's ages, we find that U's present age is 3*5=15 years, and V's present age is 8*5=40 years.
Therefore, the total of U's and V's present ages is 55 years

Answer: We are given that the present ages of L and K are in the ratio 2:5. Let's assume their ages as 2x and 5x, respectively. The problem states that the difference between K's present age and L's age after 2 years is 9.
We can express this as (5x+2)-(2x+2) = 9.
Simplifying the equation, we get 3x = 9.
Dividing both sides by 3, we find x = 3.
By substituting x = 3 back into the expressions for L and K's ages, we find that L's present age is 2*3 = 6 years, and K's present age is 5*3=15 years. Therefore, the total of L's and K's present ages is 21 years.

Answer: We are given that the present ages of H and G are in the ratio 4:6. Let's assume their ages as 4x and 6x, respectively. The difference between G's present age and H's age after 8 years is 10. We can express this as (6x+8)-(4x+8)=10.
Simplifying the equation, we get 2x = 10.
Dividing both sides by 2, we find x = 5.
By substituting x = 5 back into the expressions for H and G's ages, we find that H's present age is 4*5=20 years, and G's present age is 6*5=30 years.
Therefore, the total of H's and G's present ages is 50 years.

Solution:

Let's assume Mahima's age as M and Garima's age as G.
From the given information,we have M + G = 50 and (M-4)=2(G-4).
Solving these equations, we find Mahima's current age to be 30 and Garima's current age to be 20.

Solution: Let's assume Sarah's age five years ago as 4x and Anna's age five years ago as 7x.
We have \frac{(4x+5)}{(7x+5)}= \frac{4}{7} and
(4x+5)+(7x+5)= 56.
Solving these equations, we find Sarah's current age to be 20 and Anna's current age to be 36.

Solution: We are given that the present ages of D and E are in the ratio 3:10. Let's assume their ages as 3x and 10x, respectively. The problem states that the difference between E's present age and D's age after 5 years is 28. We can express this as (10x+5)-(3x+5)= 28.
Simplifying the equation, we get 7x = 28.
Dividing both sides by 7, we find x = 4.
By substituting x = 4 back into the expressions for D and E's ages, we find that D's present age is 3*4=12 years, and E's present age is 10 * 4 = 40 years.
Therefore, the total of D's and E's present ages is 52 years

Solution: We are given that the present ages of Y and Z are in the ratio 3:5. Let's assume their ages as 3x and 5x, respectively. The problem states that the difference between Z's present age and Y's age after 5 years is 10. We can express this as (5x+5)-(3x+5)=10.
Simplifying the equation, we get 2x = 10.
Dividing both sides by 2, we find x = 5.
By substituting x = 5 back into the expressions for Y and Z ages, we find that Y's present age is 3*5=15 years, and Z's present age is 5*5=25 years.
The total of Y's and Z's present ages is 40 years.

Solution: Let's assume Sam's present age as x. John's present age = 3x
According to the given information, x+3x=82.
Simplifying the equation, 4x = 36.
Dividing both sides by 4, x=20.5.
Therefore, Sam's present age is 21, and John's present age is 63.

Solution: The present ages of John and Kat are in the ratio 5:7. Let's assume their ages as 5x and 7x, respectively. The problem states that the difference between Kat's present age and John's age after 4 years is 5. We can express this as (7x+4)-(5x+4)=5.
Simplifying the equation, we get 2x = 5.
Dividing both sides by 2, we find x = 5/2.
By substituting x = 5/2 back into the expressions for John and Kat's ages, we find that John's present age is 25/2 years, and Kat's present age is 35/2 years.
The total of John's and Kat's present ages is 30 years.