The sum of two numbers is 35. If one number is 8 more than other, what as the numbers?
- 14 and 21
- 15 and 20
- 12 and 35
- 10 and 25
Explanation
Given the information that the sum of two numbers is 35 and one number is 8 more than the other, we can set up a system of equations to solve for the numbers.
Let's denote the two numbers as and , where:
= one of the numbers
= the other number
Given:
1. The sum of the two numbers is 35:
x + y = 35
2. One number is 8 more than the other:
x = y + 8
Substitute the value of from the second equation into the first equation:
y + y + 8 = 35
2y + 8 = 35
2y + 8 = 35
2y = 27
y = 13.5
Now, substitute the value of y back into:
x = y +8
x = 13.5 + 8
x = 21.5
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