Question

Find the product of two numbers whose sum is 11 and difference is 3.

A) 28
B) 24
C) 20
D) 18

Answer 1

To find the product of two numbers whose sum is 11 and difference is 3, we can use a system of equations. The two numbers are 7 and 4, and their product is 28.

Step-by-step explanation:

To find the product of two numbers whose sum is 11 and difference is 3, we can use a system of equations. Let's call the numbers x and y, with x being the larger number. We have the following equations:

• x + y = 11
• x - y = 3

To solve this system, we can use the method of substitution or elimination. Here, let's use the method of elimination. Adding the two equations eliminates y.

• (x + y) + (x - y) = 11 + 3
• 2x = 14
• x = 7

Substituting the value of x back into one of the equations, we can find the value of y.

• 7 + y = 11
• y = 4

The two numbers are 7 and 4. To find their product, we simply multiply them together:

• 7 * 4 = 28

Therefore, the product of the two numbers is 28. So, the correct answer is A) 28.