Knowee
Questions
Features
Study Tools

Aftab tells his daughter, ‘7 years ago, I was seven times as old as you were then. Also, 3 years from now, I shallbe three times as old as you will be.’ Represent this situation algebraically and graphica

Question

Aftab tells his daughter, ‘7 years ago, I was seven times as old as you were then. Also, 3 years from now, I shallbe three times as old as you will be.’ Represent this situation algebraically and graphica

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

Solution

Let's denote:

A = Aftab's current age D = Daughter's current age

From the problem, we have two conditions that can be translated into the following equations:

  1. A - 7 = 7 * (D - 7) This equation comes from the statement "7 years ago, I was seven times as old as you were then."

  2. A + 3 = 3 * (D + 3) This equation comes from the statement "3 years from now, I shall be three times as old as you will be."

So, we have a system of two equations:

A - 7 = 7D - 49 A + 3 = 3D + 9

To represent this situation graphically, you would plot these two equations on a graph where A is on the y-axis and D is on the x-axis. The point where the two lines intersect will give you the solution to the system of equations, i.e., the current ages of Aftab and his daughter.

This problem has been solved

Similar Questions

Two years ago a father was four times as old as his son. Three years from now the father will be only three times as old as the son. How old is each now?If x represents the son's age two years ago, which expression represents his father's age three years from now?3x + 33x + 15x + 3

If 1½ years is added to 3/7th of the age of Ravi, it will be half of his present age. What is his present age?

A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 40 years now, find son’s age 4 years ago?

Translate this phrase into an algebraic expression.7 increased by twice Malik's ageUse the variable m to represent Malik's age.

Ram is three times as old as his Sam.2 years ago he was five times as old as Sam.What is the present age of Ram

1/1

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.