Hema was twice as old as Geeta 10 years ago. How old is Geeta today. if Hema will be 40 years old 10 years henceforth?

Options

A. 25 years
B. 20 years
C. 15 years
D. 35 years

Explanation

To solve the problem step by step, we will break down the information given in the question and use it to find Geeta's current age.

### Step 1: Understand the information given
We know that Hema was twice as old as Geeta 10 years ago. We also know that Hema will be 40 years old 10 years from now.

### Step 2: Determine Hema's current age
If Hema will be 40 years old in 10 years, we can find her current age by subtracting 10 from 40:
\[ \text{Hema's current age} = 40 - 10 = 30 \text{ years} \]

### Step 3: Calculate Hema's age 10 years ago
To find Hema's age 10 years ago, we subtract 10 from her current age:
\[ \text{Hema's age 10 years ago} = 30 - 10 = 20 \text{ years} \]

### Step 4: Set up the relationship between Hema's and Geeta's ages
According to the problem, Hema's age 10 years ago was twice that of Geeta's age at that time. Let Geeta's age 10 years ago be \( G \). Therefore, we have:
\[ 20 = 2G \]

### Step 5: Solve for Geeta's age 10 years ago
To find Geeta's age 10 years ago, we can rearrange the equation:
\[ G = \frac{20}{2} = 10 \text{ years} \]

### Step 6: Calculate Geeta's current age
To find Geeta's current age, we need to add 10 years to her age 10 years ago:
\[ \text{Geeta's current age} = 10 + 10 = 20 \text{ years} \]

### Conclusion
Thus, Geeta is currently **20 years old**.

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