Multiple choice

A mother is three times as old as her son. After $15$ years, she will be twice as old as her son. What is the present age of mother?

  1. $30$ years
  2. $45$ years
  3. $50$ years

  4. <span class="MathJax_Preview"><span class="MJXp-math"><span class="MJXp-mn">60<span class="MathJax MathJax_Processing"> years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let son's age be x, mother's be 3x. After 15 years: 3x + 15 = 2(x + 15). 3x + 15 = 2x + 30. x = 15. Mother's age = 3 * 15 = 45.

AI explanation

Let the present age of the son be x, making the mother's present age 3x. After 15 years, the equation becomes 3x + 15 = 2(x + 15), which simplifies to 3x + 15 = 2x + 30 and yields x = 15. The present age of the mother is 3 * 15 = 45 years.

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