👵👦 Let’s solve the problem! 🤔

Let the present age of the person be P years. 📆

Let the present age of the mother be M years. 📆

According to the problem, the person’s present age is two-fifth of the age of his mother. 📝

So, P = (2/5)M

After 8 years, the person’s age will be P + 8 years. 🕰️

After 8 years, the mother’s age will be M + 8 years. 🕰️

According to the problem, after 8 years, the person will be one-half of the age of his mother. 📝

So, P + 8 = (1/2)(M + 8)

Substitute P = (2/5)M in the above equation. 📝

(2/5)M + 8 = (1/2)(M + 8)

Multiply both sides by 10 to eliminate fractions. 📝

4M + 80 = 5M + 40

Subtract 4M from both sides. 📝

80 = M + 40

Subtract 40 from both sides. 📝

40 = M

So, the mother’s present age is 40 years. 📆

The final answer is: 🎉 The mother is 40 years old at present. 👵