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The sum of two numbers is 19 if 1/9 of first number is 5 find the second number?
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The sum of two numbers is 19 if 1/9 of first number is 5 find the seco...
Understanding the Problem
The problem involves two numbers, and we need to find the second number given their sum and a condition about the first number.
Step 1: Set Up the Equations
- Let the first number be represented as "x."
- Let the second number be represented as "y."
- According to the problem, the following equations can be established:
- x + y = 19 (Equation 1)
- (1/9)x = 5 (Equation 2)
Step 2: Solve for the First Number
- From Equation 2, we can solve for x:
- Multiply both sides by 9:
- x = 5 * 9
- Therefore, x = 45.
Step 3: Substitute to Find the Second Number
- Now that we know x, we can substitute it back into Equation 1:
- 45 + y = 19
- To find y, subtract 45 from both sides:
- y = 19 - 45
- Therefore, y = -26.
Conclusion
- The second number is -26.
Final Summary:
- The first number (x) is 45.
- The second number (y) is -26.
- Thus, the two numbers that satisfy the given conditions are 45 and -26.
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The sum of two numbers is 19 if 1/9 of first number is 5 find the second number?
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