Answer:
-27 and -18
Step-by-step explanation:
Solve algebraically. Use a variable and an expression to represent the numbers.
let the smaller number be "x"
The bigger number is x + 9.
The two numbers are "x" and "x + 9".
The sum of two numbers means when you add them together. If their number is −45, then:
x + x + 9 = −45
Simplify and isolate "x" to solve in the equation.
x + x + 9 = −45 Collect like terms (numbers that have "x") to simplify
2x + 9 = −45 Isolate "x"
2x + 9 - 9 = −45 - 9 Subtract 9 from both sides
2x = −54
2x/2 = −54/2 Divide both sides by 2
x = -27 Value of smaller number
The bigger number is x + 9. Substitute "x" for -27 and solve.
x + 9
= -27 + 9 Add together
= -18 Value of bigger number
Therefore the two numbers are -27 and -18.
