Question

The sum of two numbers is 40. if L is the larger number, express the product of the two numbers in terms of L

please show work​

Answer 1

Ans = 40L - L²

Explanation:

Let the L be the larger number and S the smaller number

the sum of two numbers is 40 can be represented as:

L + S = 40-----------------(1)

From (1), make S subject of formula:

S = 40 - L------------------(2)

express the product of the two numbers in terms of L

product of the two numbers = L*S

Substituting S = 40 - L from (2)

L*S = L (40-L)

= 40L - L²