ravish tells his daughter aarushi seven years ago I was 7 times as old as you were then also three years from now I shall be 3 times as old as you will be if present ages of Aarushi and Ravish are X and Y respectively represent this situation algebraically as well as graphically
Answers
Answer :-
Let the present age of Aarushi and Ravish be x and y years respectively,
According to the first condition we get,
7 year ago Aarushi age will be (x - 7) years
7 year ago Ravish age will be (y - 7 ) years
7 year ago there age will be
( y - 7) = 7(x - 7)
Simplifying the given equation we get,
7x - y - 42 = 0 ---(1)
According to the second condition we get,
3 years from now Aarushi age will be (x + 3) years
3 years from now Ravish age will be (y + 3) years
3 years from now there age will be
(y + 3) = 3( x + 3)
Simplifying the given equation we get,
3x – y + 6 = 0 ---(2)
From equation (1)
Substituting x or y value to get the corresponding value
7x - y - 42 = 0
x = 6
y = 0
(6,0)
x = 5
y = -7
( 5,-7)
In equation (2)
x = 0
y = 6
(0,6)
x = -2
y= 0
(-2,0)
Answer:
Let the present age of Aarushi and Ravish be x and y years respectively,
According to the first condition we get,
7 year ago Aarushi age will be (x - 7) years
7 year ago Ravish age will be (y - 7 ) years
7 year ago there age will be
( y - 7) = 7(x - 7)
Simplifying the given equation we get,
7x - y - 42 = 0 ---(1)
According to the second condition we get,
3 years from now Aarushi age will be (x + 3) years
3 years from now Ravish age will be (y + 3) years
3 years from now there age will be
(y + 3) = 3( x + 3)
Simplifying the given equation we get,
3x – y + 6 = 0 ---(2)
From equation (1)
Substituting x or y value to get the corresponding value
7x - y - 42 = 0
x = 6
y = 0
(6,0)
x = 5
y = -7
( 5,-7)
In equation (2)
x = 0
y = 6
(0,6)
x = -2
y= 0
(-2,0)