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The greater of two numbers is 12 more than the smaller and the sum of the two numbers is 10 . Find the numbers
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The problem:
The problem states that the greater of two numbers is 12 more than the smaller, and the sum of the two numbers is 10. We need to find the numbers.
Step-by-step solution:
Let's assume the smaller number as "x" and the greater number as "y".
Given:
- The greater number is 12 more than the smaller number. So, we can write this as an equation: y = x + 12.
- The sum of the two numbers is 10. So, we can write this as another equation: x + y = 10.
Now, we have two equations:
1. y = x + 12
2. x + y = 10
Substituting the value of "y" from equation 1 into equation 2:
We can substitute the value of "y" from equation 1 into equation 2 to solve for "x".
x + (x + 12) = 10
2x + 12 = 10
2x = 10 - 12
2x = -2
x = -2/2
x = -1
Substituting the value of "x" into equation 1 to find "y":
Now that we have found the value of "x", we can substitute it back into equation 1 to find the value of "y".
y = (-1) + 12
y = 11
The solution:
Therefore, the smaller number is -1 and the greater number is 11.
The problem states that the greater of two numbers is 12 more than the smaller, and the sum of the two numbers is 10. We need to find the numbers.
Step-by-step solution:
Let's assume the smaller number as "x" and the greater number as "y".
Given:
- The greater number is 12 more than the smaller number. So, we can write this as an equation: y = x + 12.
- The sum of the two numbers is 10. So, we can write this as another equation: x + y = 10.
Now, we have two equations:
1. y = x + 12
2. x + y = 10
Substituting the value of "y" from equation 1 into equation 2:
We can substitute the value of "y" from equation 1 into equation 2 to solve for "x".
x + (x + 12) = 10
2x + 12 = 10
2x = 10 - 12
2x = -2
x = -2/2
x = -1
Substituting the value of "x" into equation 1 to find "y":
Now that we have found the value of "x", we can substitute it back into equation 1 to find the value of "y".
y = (-1) + 12
y = 11
The solution:
Therefore, the smaller number is -1 and the greater number is 11.
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The greater of two numbers is 12 more than the smaller and the sum of the two numbers is 10 . Find the numbers Related: Multiple Choice Questions- Rational Numbers?
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The greater of two numbers is 12 more than the smaller and the sum of the two numbers is 10 . Find the numbers Related: Multiple Choice Questions- Rational Numbers? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The greater of two numbers is 12 more than the smaller and the sum of the two numbers is 10 . Find the numbers Related: Multiple Choice Questions- Rational Numbers? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The greater of two numbers is 12 more than the smaller and the sum of the two numbers is 10 . Find the numbers Related: Multiple Choice Questions- Rational Numbers?.
The greater of two numbers is 12 more than the smaller and the sum of the two numbers is 10 . Find the numbers Related: Multiple Choice Questions- Rational Numbers? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The greater of two numbers is 12 more than the smaller and the sum of the two numbers is 10 . Find the numbers Related: Multiple Choice Questions- Rational Numbers? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The greater of two numbers is 12 more than the smaller and the sum of the two numbers is 10 . Find the numbers Related: Multiple Choice Questions- Rational Numbers?.
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