In the space below, provide the smaller of the two positive integers that add to 30 and have the largest possible product.

Question

misty1212 · Answer

HI!!

mathmale · Answer

Choose two letters to represent these positive integers.
Write an equation for their sum.
Write an equation for their product, elimininating one of the variables using the sum equation.
solve for this one variable
Find the other variable.

misty1212 · Answer

you could use algebra, but it is not necessary

sshayer · Answer

you can use calculus to find largest area.

sshayer · Answer

sorry largest product.

mathmale · Answer

@zeus4263:  Your input?

zeus4263 · Answer

i got 15 because 15+15=30 and 15*15=225 which is larger than any other combination of numbers