The ratio of ages of Meena and Meera is 4 : 3. The sum of their age s ...
After 8 years their respective ages will be 24 years and 20 years which shall be in ratio 24 : 20 or 6 : 5.
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The ratio of ages of Meena and Meera is 4 : 3. The sum of their age s ...
Given information:
- Ratio of ages of Meena and Meera is 4 : 3
- Sum of their ages is 28 years
To find:
- Ratio of their ages after 8 years
Let's solve the problem step by step:
**Step 1: Assign variables**
Let's assume the present ages of Meena and Meera as 4x and 3x respectively. Here, x is a constant.
**Step 2: Write equations**
According to the given information, we can write the following equation:
4x + 3x = 28
**Step 3: Solve the equation**
Combining like terms, we get:
7x = 28
Dividing both sides of the equation by 7, we get:
x = 4
**Step 4: Calculate present ages**
Now, we can calculate the present ages of Meena and Meera:
Meena's age = 4x = 4 * 4 = 16 years
Meera's age = 3x = 3 * 4 = 12 years
**Step 5: Calculate future ages**
After 8 years, Meena's age will be 16 + 8 = 24 years
After 8 years, Meera's age will be 12 + 8 = 20 years
**Step 6: Calculate the ratio of future ages**
The ratio of their ages after 8 years is:
24 : 20
Simplifying the ratio by dividing both numbers by their greatest common divisor (4), we get:
6 : 5
Therefore, the correct answer is option A) 6 : 5.