# The product of the sum and the difference of two numbers is 105. Find the two numbers

2
by kelogs

2015-09-04T18:48:09+08:00

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The numbers are (possibly) consecutive
Let x and x+1 be the numbers
( x + 1 + x )( x + 1 - x ) = 105
( 2x + 1 )( 1 ) = 105
2x + 1 = 105
2x = 105 - 1
2x = 104
x = 52
x + 1 = 53
Therefore, the numbers are 52 and 53.

• Brainly User
2015-09-04T22:34:13+08:00
I believe that there's a missing statement not posted here :-)

Let first number by x
second number be y

If we add the the two numbers (sum) :  x + y
If we subtract the two numbers (difference) :  x - y

The product of the sum and difference:  Multiply:
(x + y ) (x - y) = 105

The missing statement / condition will help us transform y in terms of x:-)