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Problems on Ages

Problems on Ages: Formulas, Shortcuts and Solved Examples

Age problems turn word clues into small equations. This lesson gives each rule, the reason it…
The sum of the ages of Anita, Rohan, and Divya is 99 years. If Anita is 10 years older than Divya, and the total of Rohan and Divya’s ages is 62 years, what is Rohan’s age?
In a ratio-based age problem, if a person’s present age is r times a common multiplier x, and n years pass, their new age is expressed as what?
In age-ratio word problems, when a ratio r1:r2 changes to r3:r4 after n years, the standard approach is to do what?
Consider this data-sufficiency question: what is B’s present age? Statement I: A is 6 years older than B. Statement II: the total of B and C’s ages is 40 years. Which of these is correct?
The average of the ages of Karan and Sophie is 12 years. If the respective ratio of their ages 5 years from now is 23:11, what is Sophie’s present age (the smaller ratio value)?
The average of the ages of Karan and Sophie is 63 years. If the respective ratio of their ages 6 years from now is 97:41, what is Sophie’s present age (the smaller ratio value)?
The average of the ages of Karan and Sophie is 28 years. If the respective ratio of their ages 5 years from now is 15:7, what is Sophie’s present age (the smaller ratio value)?
The average of the ages of Karan and Sophie is 16 years. If the respective ratio of their ages 3 years from now is 23:15, what is Sophie’s present age (the smaller ratio value)?
The average of the ages of Karan and Sophie is 28 years. If the respective ratio of their ages 6 years from now is 41:27, what is Sophie’s present age (the smaller ratio value)?
The average of the ages of Karan and Sophie is 13 years. If the respective ratio of their ages 4 years from now is 9:8, what is Sophie’s present age (the smaller ratio value)?
The average of the ages of Karan and Sophie is 27 years. If the respective ratio of their ages 6 years from now is 17:16, what is Sophie’s present age (the smaller ratio value)?
The average of the ages of Karan and Sophie is 33 years. If the respective ratio of their ages 5 years from now is 47:29, what is Sophie’s present age (the smaller ratio value)?
The average of the ages of Karan and Sophie is 21 years. If the respective ratio of their ages 6 years from now is 5:4, what is Sophie’s present age (the smaller ratio value)?
The average of the ages of Karan and Sophie is 9 years. If the respective ratio of their ages 3 years from now is 5:3, what is Sophie’s present age (the smaller ratio value)?
The average of the ages of Karan and Sophie is 14 years. If the respective ratio of their ages 4 years from now is 7:2, what is Sophie’s present age (the smaller ratio value)?
The average of the ages of Karan and Sophie is 24 years. If the respective ratio of their ages 5 years from now is 47:11, what is Sophie’s present age (the smaller ratio value)?
The sum of the ages of Anita, Rohan, and Divya is 109 years. If Anita is 12 years younger than Divya, and the total of Rohan and Divya’s ages is 77 years, what is Rohan’s age?
The sum of the ages of Anita, Rohan, and Divya is 74 years. If Anita is 9 years younger than Divya, and the total of Rohan and Divya’s ages is 59 years, what is Rohan’s age?
The sum of the ages of Anita, Rohan, and Divya is 114 years. If Anita is 14 years younger than Divya, and the total of Rohan and Divya’s ages is 83 years, what is Rohan’s age?
The sum of the ages of Anita, Rohan, and Divya is 86 years. If Anita is 16 years younger than Divya, and the total of Rohan and Divya’s ages is 68 years, what is Rohan’s age?
The sum of the ages of Anita, Rohan, and Divya is 102 years. If Anita is 10 years older than Divya, and the total of Rohan and Divya’s ages is 60 years, what is Rohan’s age?
The sum of the ages of Anita, Rohan, and Divya is 76 years. If Anita is 5 years older than Divya, and the total of Rohan and Divya’s ages is 51 years, what is Rohan’s age?
The sum of the ages of Anita, Rohan, and Divya is 103 years. If Anita is 23 years older than Divya, and the total of Rohan and Divya’s ages is 60 years, what is Rohan’s age?
The sum of the ages of Anita, Rohan, and Divya is 76 years. If Anita is 26 years younger than Divya, and the total of Rohan and Divya’s ages is 59 years, what is Rohan’s age?

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