Form a pair of linear equation in two varlables given the following information and shown the graph, Five years ago, Sagar was twice as old as Rlya . Ten years later, Sagar's age will be ten years more than Riya's age. Using the above information from the graph , Examine their age. A. What information do you get from the above graph? B. What scaled is used in the above graph? C. Which line is concern with Riya and Sagar ? D. Can we find out the age in negative Integer ? justify your answer. E. Compare the ages of Sagar and Riya. What is the ratio of the ages?
Answers
It is given that,
Five years ago sagar was twice as old as tiru.
Ten years later sagar age will be ten year more than tiru age
Let x be the age of tiru five years ago.
Then the age of sager 5 years ago = 2x
Present age of tiru = x + 5
Present age of sagar = 2x + 5
After 10 years,
age of tiru = (x + 5 )+ 10 = x + 15
age of sagar = (2x + 5)+10 = 2x + 15
To find x
Ten years later sagar age will be ten year more than tiru age
we can write,
(x + 15) + 10 = 2x + 15
x + 25 = 2x + 15
x = 10
To find present age of tiru and sagar
Present age of tiru = x + 5 = 10 + 5 = 15
Present age of sagar = 2x + 5 = 2*10 + 5 = 25
To find the age of sagar when tiru was born
Present age of tiru = 15
Present age of sagar = 25
The age of sagar when tiru was born = Present age of sagar - present age of tiru = 25 - 15 = 10 years
Therefore the age of sagar when tiru was born = 10 years