A person’s present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?
👵👦 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. 👵
