Question 234371
we'll let the numbers be x and y with x being the lesser

x+y=45

2y=5x+6

now we'll use substitution method to solve. I'll use the 1st equation to solve for y.

x+y=45

y=45-x

now plug this into the 2nd equation

2(45-x)=5x+6

90-2x=5x+6

-7x=-84

x=12 

now plug this into our 1st solution to find y

y=45-12

y=33

so, x=12 and y=33