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Arithmetic (Ages)

Arithmetic (Ages)

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1) The present age of a man is twelve times the present age of his son. Ten years from now, the sum of their ages will be 79 years. What is the present age of the man?

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2) The present age of a man is eleven times the present age of his son. Nine years from now, the sum of their ages will be 73 years. What is the present age of the man?

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3) The present age of a man is ten times the present age of his son. Eight years from now, the sum of their ages will be 67 years. What is the present age of the man?

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4) The present age of a man is nine times the present age of his son. Seven years from now, the sum of their ages will be 61 years. What is the present age of the man?

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5) The present age of a man is eight times the present age of his son. Six years from now, the sum of their ages will be 55 years. What is the present age of the man?

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6) The present age of a man is seven times the present age of his son. Five years from now, the sum of their ages will be 49 years. What is the present age of the man?

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7) The present age of a man is six times the present age of his son. Four years ago, the sum of their ages was 35 years. What is the present age of the man?

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8) The present age of a man is five times the present age of his son. Three years ago, the sum of their ages was 31 years. What is the present age of the man?

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9) The present age of a man is four times the present age of his son. Five years ago, the sum of their ages was 27 years. What is the present age of the man?

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10) The present age of a man is three times the present age of his son. The sum of their ages is 36 years. What is the present age of the man?

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11) The present age of a father is 15 times the age of his son. If 15 years ago, the father was 13 times older than his son, what is the present age of the son?

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12) A father is 13 times older than his son. If 13 years ago, the father was 11 times older than his son, what is the present age of the son?

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13) The present age of a father is 11 times the age of his son. If 11 years ago, the father was 9 times older than his son, what is the present age of the son?

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14) A father is 9 times older than his son. If 6 years ago, the father was 7 times older than his son, what is the present age of the son?

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15) The present age of a father is 7 times the age of his son. In 7 years, the father will be 6 times older than his son. What is the present age of the son?

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16) The present age of a father is 5 times the age of his son. In 5 years, the father will be 4 times older than his son. What is the present age of the son?

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17) A father is 4 times older than his son. In 12 years, the father will be 3 times older than his son. What is the present age of the son?

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18) The present age of a father is 6 times the age of his son. In 6 years, the father will be 4 times older than his son. What is the present age of the son?

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19) The present age of a father is 4 times the age of his son. In 4 years, the father will be 3 times older than his son. What is the present age of the son?

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20) A man is 8 times older than his son. In 10 years, the father will be 4 times older than his son. What is the present age of the son?

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21) The average age of a group of 10 people was 32 years. When a person aged 50 years joined the group, the average age increased by 2 years. What was the average age of the group before the person joined?

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22) The present age of a father is 3 times the age of his son. Four years ago, the father’s age was 5 times the age of the son. What is the present age of the son?

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23) The present age of a father is 4 times the age of his son. Four years ago, the father’s age was 6 times the age of the son. What is the present age of the son?

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24) The present age of a father is 3 times the age of his son. Five years ago, the father’s age was 5 times the age of the son. What is the present age of the son?

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25) The sum of the present ages of a father and his son is 45 years. Four years ago, the father’s age was 4 times the age of the son. What is the present age of the son?

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26) The sum of the present ages of a father and his son is 60 years. Six years ago, the father’s age was 4 times the age of the son. What is the present age of the son?

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27) The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages was 144. What is the present age of the father?

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28) In a class, the average age of 30 students is 15 years. If the age of the teacher is included, the average age increases by 1 year. What is the age of the teacher?

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29) The ages of A and B are in the ratio 5:7. After 8 years, the ratio of their ages will be 3:4. What is A’s age?

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30) In a family of 5 members, the average age of the family is 25 years. If the age of the youngest member is 10 years, then what will be the average age of the family if the age of the youngest member is also included?

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