Ravish tells his daughter aarushi, "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"..if present ages of aarushi and ravish are x and y years respectively, represent this situation algebraically as well as graphically

1. Arushi = 12 years, Rabish = 42 years (Both algebraically and graphically)

Step-by-step explanation:

1. Algebraic solution

Given,

The age of Arushi is X years

The age of Ravish is Y years

7 years ago the age of Arushi was (X-7)

7 years ago the age of Ravish was (Y-7)

According to the question , (Y-7) = 7(X-7)......(i)

Again according to the question Y+3 = 3(X+3).......(ii)

From equation (i),

    Y-7 = 7(X - 7)

or, Y = 7(X - 7)+7

or, Y = 7X - 49 + 7

or, Y = 7X - 42......(iii)

Putting the value of Y in equation (ii)

     Y + 3 = 3(X + 3)

or, 7X - 42 + 3 = 3X + 9

or, 7X - 3X = 9 + 42 - 3

or, 4X = 48

or, X = 48/4

or, X = 12

Putting the value of X in equation (iii)

    Y = 7X - 42

or, Y = 7*12 - 42

or, Y= 84 - 42

or, Y = 42

2. graphical solution

For equation (i), (Y-7) = 7(X-7)

X          Y          (X,Y)

5          -7          (5,-7)

6           0           (6,0)

For equation (ii), Y+3 = 3(X+3)

X            Y           (X,Y)

0             6           (0,6)

-2            0           (-2,0)

The graph is shown as attachment,

If you take the scale on y-axis as 5 or 10, you will see that the two lines intersect at the point (12, 12) .

Hence, the age of Arushi is 12 years, and the age of Ravish is 42 years.

your question is incomplete, write all the numbers in the sequence that it tells you.  

step-by-step explanation: