Answer:
27 and 32.
Step-by-step explanation:
Let the two numbers be A and B.
The larger number (let's use B) is 5 more than the smaller one (A). In other words:
[tex]B=5+A[/tex]
Their sum is 59. So:
[tex]A+B=59[/tex]
This is a system of equations. Solve by substituting the first equation into the second. Thus:
[tex]A+(5+A)=59[/tex]
Combine like terms:
[tex]2A+5=59[/tex]
Subtract 5 from both sides:
[tex]2A=54[/tex]
Divide both sides by 2:
[tex]A=27[/tex]
So, the smaller number is 27.
This means that the bigger number is 27+5=32.
So, the two numbers are 27 and 32.
And we're done!
