Three boys are aged 2 years, 4 years and 8 years.
They went to divide seventy rupees in the ratio of their ages. How much money would each get?

Answer

To solve the problem of dividing 70 rupees among three boys aged 2 years, 4 years, and 8 years in the ratio of their ages, we can follow these steps:

### Step 1: Identify the Ages
The ages of the three boys are:
- First boy: 2 years
- Second boy: 4 years
- Third boy: 8 years

### Step 2: Write the Ratio of Their Ages
The ratio of their ages can be expressed as:
- Ratio = 2 : 4 : 8

### Step 3: Simplify the Ratio
To simplify the ratio, we can divide each term by the smallest age (which is 2):
- Simplified Ratio = 1 : 2 : 4

### Step 4: Calculate the Total Parts of the Ratio
Now, we need to find the total number of parts in the ratio:
- Total parts = 1 + 2 + 4 = 7 parts

### Step 5: Determine the Value of Each Part
Next, we can find the value of each part by dividing the total amount of money (70 rupees) by the total number of parts:
- Value of each part = Total Money / Total Parts = 70 / 7 = 10 rupees

### Step 6: Calculate Each Boy's Share
Now we can calculate how much money each boy gets based on the simplified ratio:
- First boy's share = 1 part = 1 * 10 = 10 rupees
- Second boy's share = 2 parts = 2 * 10 = 20 rupees
- Third boy's share = 4 parts = 4 * 10 = 40 rupees

### Step 7: Verify the Total Amount
Finally, we can verify that the total amount distributed adds up to 70 rupees:
- Total = 10 + 20 + 40 = 70 rupees

### Final Shares:
- First boy: 10 rupees
- Second boy: 20 rupees
- Third boy: 40 rupees

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