As per the question, we have:ģ(x – 21) = x – 5 or 3x – 63 = x – 5. Also, the age of Mujtaba five years ago will be x – 15 – 6 years = x – 21 years. Five years ago the age of Yasir will be equal to x – 5 years. Now let us move on to the second condition. Then the age of Mujtaba will be equal to x – 15 years. Then Yasir’s present age will be:Ī) 29 years B) 30 years C) 31 years D) 32 yearsĪnswer: Let the age of Yasir be = x years. Five years ago, Yasir was three times as old as Mujtaba. Therefore the ages are 10 years for the younger one and (10 + 20) years = 30 years for the elder one.Įxample 3: Yasir is fifteen years elder than Mujtaba. Therefore as per the question, we have: 5 (x – 5) = (x + 20 – 5) or 4x = 40 or x = 10. Five years ago their ages would have been x – 5 years and x + 20 years. Then the age of the second person will be (x + 20) years. If 5 years ago, the elder one of the two was 5 times as old as the younger one, then their present ages are equal to:Īnswer: The first step is to find the equation. More Solved ExamplesĮxample 2: The difference in the age of two people is 20 years. Thus the son’s age after 6 years = (x+ 6) = (14 + 6) = 20 years. Therefore as per the second condition, we have ĥ4 – x = 5(x – 6) or 54 – x = 5x – 30 and we can write 6x = 84 Similarly the age of the son six years ago will be x – 6 years. The age of the father six years ago = (60 – x) – 6 years = 54 – x years. As per the second condition of the question, we have: Notice that we are trying to reduce the problem into as few variables as possible. Six years from now the son’s age will be:Ī) 23 years B) 19 years C) 20 years D) 22 yearsĪnswer: Suppose that the present age of the son is = x years. Six years ago the age of the father was five times the age of the son. Similarly, n years in the past, the age of this would have been x – n years.Įxample 1: A father and his son decide to sum their age. If the age of a person is ‘x’, then ‘n’ years after today, the age = x + n. We will see some important examples here but first, let us see the following tricks. The basic rule is that if the number of unknowns is equal to the number of conditions, then these equations are solvable, otherwise not. An equation could have one, two or more unknowns. Equations are a convenient way to represent conditions or relations between two or more quantities.
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