xy = 30
x - y = 1
x + y = 11
First, we need to consider factors of 30:
1, 2, 3, 5, 6, 10, 15, 30
Which two of these, subtracted, would equal 1?
5 and 6
6 x 5 = 30
6 - 5 = 1
6 + 5 = 11
Answer:
Two numbers are 5 and 6.
Step-by-step explanation:
Let the two numbers are x and y.
"My product is 30"
xy = 30 ------(1)
"The difference of the two factors is 1"
x - y = 1 ------(2)
"The sum of two factors is 11"
x + y = 11 --------(3)
Now we add equation (2) and equation (3).
(x - y) + (x + y) = 1 + 11
2x = 12
x = 6
By putting the value of x in equation (2)
6 - y = 1
y = 6 - 1
y = 5
We can check our answer by putting the values of x and y in the equation (1)
6×5 = 30
Therefore, The two numbers are 5, and 6.
