Question

My product is 30. The difference of the two factors is 1. The sum of the two factors is 11. What numbers am i?

Answer 1

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.

Answer 2

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