Q:

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

Accepted Solution

A:
Answer:Product of the numbers = 7 x 4 = 28Step-by-step explanation:Let the numbers be x and y   Sum ,      x + y = 11  ----- ( 1 )Difference, x - y = 3 ----- ( 2 )( 1 ) + ( 2 ) => 2x = 14                     x = 7Substitute x = 7 in ( 2) => x - y = 3                                       7 - y = 3                                       7 - 3 = y                                        y = 4The numbers are 7 and 4. Product of the numbers = 7 x 4 = 28