Question

miguel is one - fifth of lizas age. if the sum of their ages is 60, how old is miguel?

Explanation:

Step1: Let Miguel's age be $x$ and Liza's age be $y$.

We know that $x=\frac{1}{5}y$ and $x + y=60$.

Step2: Substitute $y = 5x$ into the sum - equation.

Substituting $y = 5x$ into $x + y=60$, we get $x+5x=60$.

Step3: Combine like - terms and solve for $x$.

Combining like - terms, $6x = 60$. Then $x=\frac{60}{6}=10$.

Answer:

10