Question

12. The sum of two numbers is 42. The lesser number is 6

more than half the greater number. What is the product of
the two numbers?
F
G
H
6
42
432
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Answer 1

To find the product of two numbers, we need to set up and solve a system of equations. The product of the two numbers is 432.

Step-by-step explanation:

Let's assign variables to represent the two numbers. Let x be the greater number and y be the lesser number.

According to the given information, we have two equations:

1. x + y = 42 (the sum of the two numbers is 42)
2. y = (x/2) + 6 (the lesser number is 6 more than half the greater number)

By substituting the value of y from the second equation into the first equation, we can solve for x. Once we find x, we can substitute it back into the second equation to find y. Finally, we can calculate the product of the two numbers by multiplying x and y together.

The product of the two numbers is 432.

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