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

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   Ans    = 40L - L²

Step-by-step 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