The sum of two numbers is 46, and the difference is 2. What are the numbers?

- The large number is:
- The small number is:

a + b = 46 a-b = 2
solve one of the equations for a... a + b = 46 a = b + 2
solve for "b" using substitution... (b + 2) + b = 46 2b + 2 = 46 2b = 44 b = 22
solve for "a" with substitution... a + (22) = 46 a = 24
Smaller Number: 22 Bigger Number: 24

Answered by iloveonedirection | 2024-06-10

Let us condense your question in the form of system of equations,
x + y = 46 x - y = 2
Now, x = 46 - y
Thus,
46-y - y = 2
46 - 2y = 2
-2y = -44
Thus, y = 22.
x + y = 46
x + 22 = 46
Thus, x = 24.
Thus, the greater number is 24 and smaller number is 22.

Answered by tadvisohil886 | 2024-06-10

The larger number is 24, and the smaller number is 22. We found these values by solving a system of equations based on their sum and difference. The equations used were x + y = 46 and x - y = 2.
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Answered by iloveonedirection | 2024-12-20