Knowee
Questions
Features
Study Tools

Five years ago, the age of a mother was four times the age of her daughter.Fifteen years hence, the mother’s age will be twice the age the daughter.Find the present age of the daughter,

Question

Five years ago, the age of a mother was four times the age of her daughter.Fifteen years hence, the mother’s age will be twice the age the daughter.Find the present age of the daughter,

🧐 Not the exact question you are looking for?Go ask a question

Solution

Let's denote the present age of the daughter as x and the present age of the mother as y.

From the problem, we have two equations:

  1. Five years ago, the mother was four times older than her daughter. This can be written as: y - 5 = 4 * (x - 5).

  2. In fifteen years, the mother will be twice as old as her daughter. This can be written as: y + 15 = 2 * (x + 15).

Now we can solve these two equations.

First, simplify them:

  1. y - 4x = -15
  2. y - 2x = 15

Subtract the second equation from the first to eliminate y:

-4x + 2x = -15 - 15 -2x = -30 x = 15

Substitute x = 15 into the second equation:

y - 2*15 = 15 y = 45

So, the present age of the daughter is 15 years old and the present age of the mother is 45 years old.

This problem has been solved

Similar Questions

Father's age is three times the sum of ages of his two children. After 5 years his age will be twice the sum of ages of two children. Find the age of father.

Select the correct answerA Father is 5 years older than the mother and the mother’s age now is thrice the age of the daughter. The daughter is now 10 years old. What was father’s age when the daughter was born?Options25 years30 years20 years15 years

A person is 15 times as old as his son. Five years later, he will be five times as old as his son will be. What is the present age of the person (in years)?

A mother is three times as old as her daughter. Ten years ago, she was five times as old as her daughter. What are their present ages?

The present ages of Amit and his father are in the ratio of 2 : 5 respectively. Four years hence the ratio of their ages will become 5 : 11 respectively. What was the father’s age 5 years ago?Options35 years45 years40 years30 years

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.