The ages of Michael, Flo, Ella, and Arlo are in the ratio 3:7:6:4. Their ages add up to 60 years. We need to find Flo's age.

1. Problem Description

The ages of Michael, Flo, Ella, and Arlo are in the ratio 3:7:6:

4. Their ages add up to 60 years. We need to find Flo's age.

2. Solution Steps

Let Michael's age be $3x$, Flo's age be $7x$, Ella's age be $6x$, and Arlo's age be $4x$.

The sum of their ages is 60 years. Therefore, we can write the equation:

$3x + 7x + 6x + 4x = 60$

Combining the terms, we get:

$20x = 60$

Dividing both sides by 20, we find the value of $x$:

$x = \frac{60}{20} = 3$

Now we can find Flo's age, which is $7x$:

Flo's age $= 7x = 7 \times 3 = 21$

3. Final Answer

Flo is 21 years old.