The sum of two numbers is forty.

Question

The sum of two numbers is forty.  Using x to represent the smaller of the two numbers, translate "the sum of twice the smaller number and five more than the larger number" into a variable expression. Then simplify.

Answer 1

Rachel,

 

x + y = 40

 

The expression is f(x) = 2x + y + 5

or f(x) = 2x + (40 -x) + 5

f(x) = x + 45