16Hit1600
AlgebraEasy–MediumLarger of two numbers from a sum and a ratio

Algebra practice question

Two numbers have a sum of 60 and are in the ratio 2 : 3. What is the larger number?

Answer: 36

Let the numbers be 2k and 3k: 5k = 60 → k = 12. The larger is 3k = 36.

Common wrong answers

If you answered 12
12 is k, one 'part'.
If you answered 24
24 is the smaller number.
If you answered 40
40 comes from 60 × 2/3, misapplying the ratio.

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