Here is the set up:
Let x and y be the two numbers with x the smaller and y the larger number.
x + y = 66
2x = y + 15
We have two equations in two unknowns.
Take it from here.
Answer:
27 and 39.
Step-by-step explanation:
Let x be the smaller number and y be the larger number.
It is given that sum of two numbers is 66.
[tex]x+y=66[/tex]
[tex]y=66-x[/tex] .... (1)
Two times the smaller number is 15 more than the larger number.
[tex]2x=15+y[/tex] ... (2)
From (1) and (2) we get
[tex]2x=15+(66-x)[/tex]
[tex]2x=81-x[/tex]
[tex]2x+x=81[/tex]
[tex]3x=81[/tex]
Divide both sides by 3.
[tex]x=27[/tex]
Substitute x=27 in equation (1).
[tex]y=66-27[/tex]
[tex]y=39[/tex]
Therefore, the numbers are 27 and 39.
