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Q: Three years ago the age of a man was six times the age of his grandson. After three years, his age will be 6 more than four time the ago of his grandson. What is the present age of the grandson ?
  • A. 8 years
  • B. 15 years
  • C. 10 years
  • D. 12 years
Correct Answer: Option B - Let the age of Man = x Age of Grandson = y According to the first condition - (x – 3) = 6(y – 3) x – 6y = –15 .......... (i) According to the second condition - (x + 3) = 4(y + 3) + 6 x – 4y = 15 ............. (ii) On solving equation (i) and (ii) - y = 15 x = 75 Hence, the present age of Grandson is 15 years
B. Let the age of Man = x Age of Grandson = y According to the first condition - (x – 3) = 6(y – 3) x – 6y = –15 .......... (i) According to the second condition - (x + 3) = 4(y + 3) + 6 x – 4y = 15 ............. (ii) On solving equation (i) and (ii) - y = 15 x = 75 Hence, the present age of Grandson is 15 years

Explanations:

Let the age of Man = x Age of Grandson = y According to the first condition - (x – 3) = 6(y – 3) x – 6y = –15 .......... (i) According to the second condition - (x + 3) = 4(y + 3) + 6 x – 4y = 15 ............. (ii) On solving equation (i) and (ii) - y = 15 x = 75 Hence, the present age of Grandson is 15 years