Multiple choice

The ages of Rahul and Haroon are in the ratio $5: 7$. Four years later, the sum of their ages will be $56$ years. What are their present ages?

  1. Rahul's age $= 10$ years and Haroon's age $=17$ years
  2. Rahul's age $= 25$ years and Haroon's age $= 42$ years
  3. Rahul's age $= 28$ years and Haroon's age $= 50$ years
  4. Rahul's age $= 20$ years and Haroon's age $= 28$ years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let ages be 5x and 7x. Four years later, (5x+4) + (7x+4) = 56 => 12x + 8 = 56 => 12x = 48 => x = 4. Ages are 5(4)=20 and 7(4)=28.

AI explanation

Let the present ages of Rahul and Haroon be 5x and 7x respectively. Four years later, their ages will sum to 56, so we write the linear equation (5x + 4) + (7x + 4) = 56. Combining like terms gives 12x + 8 = 56, which means 12x = 48, so x = 4. Multiplying this back into the original ratio gives Rahul's age as 20 and Haroon's age as 28.

Keep practicing — related questions