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The difference between two numbers is 192. The bigger number is 3 times the smaller number. Find the product of the two numbers.

Question

The difference between two numbers is 192. The bigger number is 3 times the smaller number. Find the product of the two numbers.

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Solution

Let's denote the smaller number as x and the bigger number as y.

From the problem, we have two equations:

  1. y - x = 192 (since the difference between the two numbers is 192)

  2. y = 3x (since the bigger number is 3 times the smaller number)

We can substitute equation 2) into equation 1) to solve for x:

3x - x = 192 2x = 192 x = 192 / 2 x = 96

Substitute x = 96 into equation 2) to find y:

y = 3 * 96 y = 288

So, the smaller number is 96 and the bigger number is 288.

The product of the two numbers is x * y = 96 * 288 = 27648.

This problem has been solved

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