Question

1) The sum of two numbers is 6. If one number is subtracted from the other, their difference is 4. Find the

numbers.

Answer 1

One number is 5 and the other is 1.

Explanation:

Let the numbers be x and y. Then x + y = 6 and x - y = 4. We must solve this system of equations:

x + y = 6

x - y = 4

Combining these equations temporarily eliminates y:

x + y = 6

x - y = 4

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2x = 10

Then x = 5. Since x - y = 4,

5 - y = 4

and so y must be 1.

The solution is (5, 1). One number is 5 and the other is 1.