Two positive numbers are in the ratio 3 : 5 and the difference between – InterviewSolution

1.

Two positive numbers are in the ratio 3 : 5 and the difference between their squares is 400. Find the numbers.

Answer»

Let the two numbers be 3x and 5x.

According to the given information

(5x)² − (3x)² = 400

25x² − 9x² = 400

16x² = 400

x² = 25

x = 5

Thus, the numbers are 3 × 5 = 15 and 5 × 5 = 25.

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