Multiple choice

Age of X is six times that of Y. After 4 years, X is four times older than Y at that time. What is the present age of Y?

  1. 4 years

  2. 5 years

  3. 6 years

  4. 7 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Y's age be y, then X's age is 6y. After 4 years, X is 6y+4 and Y is y+4. Given 6y+4 = 4(y+4), so 6y+4 = 4y+16, 2y = 12, y = 6.

AI explanation

Let Y's present age be y years, which makes X's present age 6y years. After 4 years, X's age will be 6y + 4 and Y's age will be y + 4. Setting up the equation 6y + 4 = 4(y + 4), we solve to get 6y + 4 = 4y + 16. This simplifies to 2y = 12, meaning the present age of Y is 6 years.

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