Question:

Asim got thrice as many sums wrong as he got right. If he attempted 60 sums in all, how many sums did he solve correctly?

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In problems involving ratios and totals, set up an equation with the unknown and solve it algebraically.
Updated On: Mar 24, 2025
  • 25
  • 12
  • 20
  • 10
  • 15 
     

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Solution and Explanation

Let the number of sums Asim solved correctly be \( x \).
Then the number of sums he solved incorrectly is \( 3x \).
We are given that the total number of sums attempted is 60.
Thus: \[ x + 3x = 60 \] \[ 4x = 60 \quad \Rightarrow \quad x = 15 \] Therefore, Asim solved 15 sums correctly.
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