PROBLEM ON AGES BY: MAYANK AGNIHOTR
QUESTIONS The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child? Ques 1. Sol et the ages of children be x, (x + 3), (x 6), (x + 9) and (x 12) years Then, x (x 3) (x 6) + (x +9) + (x 12) 50 5x20 x-4 Age of the youngest child - x -4 years. A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B? Ques 2. Sol. Let C's age be x years. Then, B's age2x years & A's age(2x + 2) years (2x 2)+ 2x +x 27 5x 25 x5. Hence, B's age 2x 10 years.
Ques 3. Present ages of Sameer and Anand are in the ratio of 5 :4 respectively. Three years hence, the ratio of their ages will become 11: 9 respectively. What is Anand's present age in years? Let the present ages of Sameer and Anand be 5x years and 4x years respectively. Then 6x.3 9(5x 3) 114x 3) 45x2744x 33 45x44x- 33 27 Anand's present age -4x24 years OR 1x 3 1011 30 9 8 24 27 Anand's present age 24 years
Ques 4. Six years ago, the ratio of the ages of Kunal and Sagar was 6 5. Four years hence, the ratio of their ages will be 11: 10. What is Sagar's age at present? Sol Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively. (6x+6)+4 11 '(5x+6)+4 10 Then, 10(6x + 10)-11(5x + 10) 5x10 Sagar's present age(5x 6) 16 years OR 5x 2 6 12 5 10 5 10 10 20 Sagar's present age(10 6) 16 years
Ques 5. Rani, who is y years old at present, is x years older than Hamid. Fifteen years ago, Hamid's age wasof the age of Rani. Which of following is true? (A) 2y-x-15 (B)--15-4 (C) 3x-4y :45 (D) 3y-4x:45 Sol. Rani's age = x + Hamid's age y = x + Hamid's Hamid's age-y-x 15 years ago, Hamid's age y-x 15 & 15 years ago, Rani's age y 15 According to condition, y-x-15 -15) 4y - 4x - 60y 15 3y-4x-45 Ans
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