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Question 1. 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.
 Question 1. 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: Let age of Aftab is represented by x age of daughter is represented by y Then Seven years ago, age of Aftab = x 7 age of daughter = y7 given that I was seven times as old as you were so we get x  7 = 7 ( y – 7 ) x – 7 = 7 y – 49 x 7 y =  49 + 7 x – 7 y =  42 …(1) x = 7 y – 42 plug y = 5,6 and 7 we get x = 7 * 5  42 = 35  42 =  7 x = 7 * 6  42 = 42 – 42 =0 x = 7 * 7 – 42 = 49 – 42 = 7 three years from now , Age of Aftab = x +3 Age of daughter = y+3 Given that I shall be three times as old as you will be so we get x + 3 = 3 (y + 3) x + 3 = 3 y + 9 x 3 y = 9 3 x 3 y = 6 …(2) x = 3 y + 6 plug y = 2,1and 0 we get x = 3 *  2 + 6 = 6+6 =0 x = 3 *  1 + 6 = 3+ 6 = 3 x = 3 * 0 + 6 = 0 + 6 = 6 Algebraic representation From equation (1) and (2) x – 7 y = – 42 …(1) x  3 y = 6 …(2) Graphical representation

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Question 1. Aftab tells his daughter, “Seven years ago, I was seven times as old as you we
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