Question

The first number is 100 less than the second number. the sum is 810 when i add the two numbers. what are my two numbers?

Answer 1

Using algebraic methods, the first number is determined to be 355 and the second number is 455. These numbers satisfy both conditions: the first is 100 less than the second and their sum is 810.

Step-by-step explanation:

To solve the problem, let's denote the first number as x and the second number as y.

According to the problem statement, we have two conditions:

1. The first number is 100 less than the second number: x = y - 100.
2. The sum of the two numbers is 810: x + y = 810.

To find the two numbers, we can substitute the expression for x from the first condition into the second condition:

1. Replace x with y - 100 in the sum equation: (y - 100) + y = 810.
2. Simplify the equation: 2y - 100 = 810.
3. Add 100 to both sides: 2y = 910.
4. Divide by 2 to get y: y = 455.
5. Now that we have y, we can find x: x = 455 - 100 = 355.

Therefore, the two numbers are 355 and 455.