All questions of Problem on Ages for SSC CGL Exam

Radha and seema present age =5x, 4x
4years ago seema age =24
so 4x-4=24
4x=28
x=7 so present age of radha=35 seema =28
so 5years after =35+5=40 so B is the answer

Let father's age be M and age of twins be 2x
(M + 2x)/3 = 30
M + 2x = 90------------(1)
M/x = 5/2
2M = 5x---------------(2)
Multiply (1) with 2
We get, 2M + 4x = 180--------------(3)
Putting (2) in (3)
5x+4x = 180 => 9x = 180x = 20. [his children are twins so 2x = 40]Since M + 2x = 90M = 90 -40 = 50years

Let
X present age is 5a---(1)
Y present age is 6a

After 7 years
5a+7/6a+7=6/7
cross multiply
So
7(5a+7)=6(6a+7)
35a+49=36a+42
a=7--(2)

substitute (2) in (1)
X present age is 5(7)= 35

HERE IS YOUR ANSWER.

Let the present age of son= x
At the time of birth of son,father age = x
So after x yrs i.e. at present age of father= 38
38=x+x
x= 38÷2= 19
So the present age of son is 19
Age of son before 5 yrs= 19-5= 14 yrs.

HOPE IT HELPS.

Understanding the Age Ratio
The ages of A, B, and C are in the ratio 2 : 3 : 5. This means we can represent their ages as:
- Age of A = 2x
- Age of B = 3x
- Age of C = 5x
Here, 'x' is a common multiplier for their ages.

Calculating the Difference Between Ages of B and C
To find the difference between the ages of B and C:
- Difference between ages of B and C = Age of C - Age of B
- Difference = 5x - 3x = 2x

Calculating Age of A as a Percentage of the Difference
Next, we need to find what percentage the age of A is of the difference calculated above:
- Age of A = 2x
- Difference = 2x
Now, we can calculate the percentage:
\[
\text{Percentage} = \left( \frac{\text{Age of A}}{\text{Difference}} \right) \times 100
\]
Substituting the values:
\[
\text{Percentage} = \left( \frac{2x}{2x} \right) \times 100 = 1 \times 100 = 100\%
\]

Conclusion
The age of A is 100% of the difference between the ages of B and C. Therefore, the correct answer is option 'D'.
This demonstrates how the ratio of their ages directly correlates to the percentage calculation based on the differences in their ages.

Understanding the Age Ratio
The ages of A, B, and C are given in the ratio of 5:3:5. This means:
- A's age = 5x
- B's age = 3x
- C's age = 5x
Here, 'x' is a common multiplier.

Calculating the Combined Age of B and C
To find the combined age of B and C:
- B's age + C's age = 3x + 5x = 8x

Finding the Percentage of A's Age to B and C's Combined Age
Now, we need to find what percentage A's age is of the combined age of B and C:
- A's age = 5x
- Combined age of B and C = 8x
The percentage is calculated using the formula:
\[
\text{Percentage} = \left(\frac{\text{A's age}}{\text{Combined age of B and C}}\right) \times 100
\]
Substituting the values:
\[
\text{Percentage} = \left(\frac{5x}{8x}\right) \times 100
\]
The 'x' cancels out:
\[
\text{Percentage} = \left(\frac{5}{8}\right) \times 100 = 62.5\%
\]

Conclusion
Thus, the age of A is **62.50%** of the combined age of B and C. Therefore, the correct answer is option **D**.

Let the elder person be 'A' and younger be 'B'. A - B = 10. A = 10 +B. 15 years ago,A -15 = 2(B-15) 10 + B - 15 = 2(B - 15). B -5 = 2B - 30. B = 25 A = B + 10 Therefore, A = 35

Given Information:
- 80% of Vishal's current age = 50% of Shivam's current age
- Average age of Shivam and Vishal = 39 years

Let's solve the problem step by step:

Step 1: Express the Given Information Mathematically
Let V be the current age of Vishal and S be the current age of Shivam.

- 0.8V = 0.5S (80% of Vishal's age is equal to 50% of Shivam's age)
- (V + S) / 2 = 39 (Average age of Shivam and Vishal is 39)

Step 2: Solve the Equations
From the first equation, we can express S in terms of V:
0.8V = 0.5S
S = 1.6V

Substitute S = 1.6V into the second equation:
(V + 1.6V) / 2 = 39
2.6V / 2 = 39
1.3V = 39
V = 39 / 1.3
V = 30

Step 3: Determine Vishal's Current Age
Therefore, Vishal's current age is 30 years.

Conclusion:
The current age of Vishal is 30 years. Hence, option A (30 years) is the correct answer.