ages quiz 1

Let the daughter\'s age be x and father\'s age be 4x. So as per question, 4x + 5 = 3(x + 5). So x = 10. Hence present age of daughter is 10 years and present age of father is 40 years. So after 5 + 5 = 10 years, daughter age would be 20 years and father’s age would be 50 years. Hence father would be 50/20 = 2.5 times of daughter’s age.

Let Aman\'s present age be x Aman\'s age before 10 years = x - 10) Aman\'s age after 20 years = (x + 20) We are given that, Aman\'s age after 20 years (x + 20) is 10 times his age 10 years back (x – 10) Therefore, (x + 20) = 10 (x – 10) Solving the equation, we get x + 20 = 10x – 100 9x = 120, x = 13.3 years

Let age of Romi be y Nisha is 15 years elder than Romi = (y + 15). So Nisha\'s age 5 years ago = (y + 15 – 5). Romi\'s age before 5 years = (y – 5) 5 years ago, Nisha is 3 times as old as Romi (y + 15 – 5) = 3 (y – 5) (y + 10) = (3y – 15) 2y = 25 ⇒ y = 12.5 Romi\'s age = 12.5 years Nisha\'s age = (y + 15) = (12.5 + 15) = 27.5 years.

10 years ago, age of mother was three times the age of her son. Say, the age of son was x and mother\'s age was 3x. At present: Mother\'s age is (3x + 10) and son’s age is (x + 10) After ten years: Mother\'s age will be (3x + 10) +10 and son’s age will be (x + 10) + 10. Given that, mother’s age is twice that of son after ten years. (3x + 10) +10 = 2 [(x + 10) + 10] (3x + 20) = 2[x + 20] Solving the equation, we get x = 20 (3x + 10): (x + 10) = 70: 30 = 7: 3.

Their present ages be 4X and 5X. 5 years ago, the ratio of their ages was 7:9, then (4X - 5) :( 5X - 5) = 7:9 X = 45 - 35 ⇒ X = 10. Their present ages are: 40, 50.

Present age of the son be P, he was born P years ago. The age of the man was: (48 - P). His age when the son was born should be equal to 1/3 of P. (48 - P) =1/3 P ⇒ P = 36

Let Roshan\'s age be x years. Then, Dinesh \'s age = (x - 9) years. (x - 9)/x = 4/5 x = 45 Hence, Dinesh\'s age = (x - 9) = 36 years.

Currently, the ratio of their ages is 5: 3. Suppose, their ages are: 5x and 3x. Sara’s age 4 years ago = 5x – 4 Vaishali’s age after 4 years = 3x + 4 Ratio of Sara’s age 4 years ago and Vaishali\'s age after 4 years is 1 : 1 Therefore, (5x - 4) / (3x + 4) = 1/1 Solving, we get x = 4 We are required to find the ratio between Sara’s age 4 years hence and Vaishali’s age 4 years ago. Sara\'s age: (5x + 4) Vaishali\'s age: (3x – 4) Putting the value of x, we get: (5x + 4) / (3x - 4) = 3/1 = 3:1

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