Professor Wheon
No Result
View All Result
  • Home
  • Home
No Result
View All Result
Morning News
No Result
View All Result

Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” (Isn’t this interesting?) Represent this situation algebraically and graphically.

Sachin Khanna by Sachin Khanna
May 31, 2020
in NCERT Question Solutions
0

Question: Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” (Isn’t this interesting?) Represent this situation algebraically and graphically.

Solution:

READ ALSO

Use Euclid’s division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8.

Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m.

Let the present age of Aftab be ‘x’.
And, the present age of his daughter be ‘y’.
Now, we can write, seven years ago,
Age of Aftab = x – 7
Age of his daughter = y – 7
According to the question,
x−7 = 7(y−7)
⇒ x−7 = 7y−49
⇒ x−7y = −42 ………………………(i)

Also, three years from now or after three years,
Age of Aftab will become = x + 3.
Age of his daughter will become = y + 3
According to the situation given,
x+3 = 3(y+3)
⇒x+3 = 3y+9
⇒x−3y = 6 …………..…………………(ii)

Subtracting equation (i) from equation (ii) we have
(x−3y)−(x−7y) = 6−(−42)
⇒−3y+7y=6+42
⇒4y=48
⇒y=12

The algebraic equation is represented by
x−7y = −42
x−3y = 6
For, x−7y =−42 or x = −42+7y
The solution table is
For, x−3y=6 or x=6+3y
The solution table is
The graphical representation is:

Class 10th
Subject Maths
Chapter Pair of Linear Equations in Two Variables
Exercise 3.1
Next Question The coach of a cricket team buys 3 bats and 6 balls for Rs.3900. Later, she buys another bat and 3 more balls of the same kind for Rs.1300. Represent this situation algebraically and geometrically.
Next Post

Use Euclid’s division algorithm to find the HCF of: 135 and 225

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

No Result
View All Result

Recent Posts

  • How many isomeric amines corresponds to the molecular formula C4H11N?
  • Describe an article on health you read in a magazine or on the internet
  • Describe a town or city where you would like to live in the future
  • Describe a law on environmental protection
  • Describe a natural talent you want to improve like sports music

Recent Comments

    Professor Wheon

    © 2020 Wheon.com.

    Navigate Site

    Follow Us

    Social icon element need JNews Essential plugin to be activated.
    No Result
    View All Result
    • Homepages
      • Home Page 1
      • Home Page 2
    • News
    • Politics
    • National
    • Business
    • World
    • Entertainment
    • Fashion
    • Food
    • Health
    • Lifestyle
    • Opinion
    • Science
    • Tech
    • Travel

    © 2020 Wheon.com.