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The difference between two numbers is 26 and one number is three times the other.Find them

Question

The difference between two numbers is 26 and one number is three times the other. Find them.

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Solution

Let's denote the two numbers as x and y.

According to the problem, we have two equations:

  1. x - y = 26 (because the difference between the two numbers is 26)

  2. x = 3y (because one number is three times the other)

Now, we can solve these equations step by step.

Step 1: Substitute equation (2) into equation (1):

3y - y = 26

Step 2: Simplify the equation:

2y = 26

Step 3: Solve for y:

y = 26 / 2 = 13

Step 4: Substitute y = 13 into equation (2):

x = 3 * 13 = 39

So, the two numbers are 39 and 13.

This problem has been solved

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