Multiple choice

The ages of $A$ and $B$ are in the ratio $7 : 5$. Ten years hence, the ratio of their ages will be $9 : 7$, find their ages.

  1. $35$ years and $25$ years
  2. $45$ years and $23$ years
  3. $42$ years and $21$ years
  4. $39$ years and $29$ years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let ages be 7x and 5x. After 10 years, (7x+10)/(5x+10) = 9/7. Cross-multiplying: 49x + 70 = 45x + 90, so 4x = 20, x = 5. Ages are 35 and 25.

AI explanation

Let the present ages of A and B be 7x and 5x. Ten years hence, the ratio of their ages will be 9 : 7, giving the equation (7x + 10) / (5x + 10) = 9 / 7. Cross multiplying yields 49x + 70 = 45x + 90, which means 4x = 20 and x = 5. Their present ages are 7 * 5 = 35 years and 5 * 5 = 25 years.

Keep practicing — related questions