Question

The difference of two numbers is 4 and their product is 60. Find the numbers.​

Answer 1

Answer:

x = 10; y = 6

Step-by-step explanation:

Let's list the factors of 60 because the product of those numbers is 60.

• ⇒ Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The following possibilities of x and y are possible using (x × y = 60):

• 60 and 1 ⇒ x = 60; y = 1 ⇒ 60 × 1 = 60
• 30 and 2 ⇒ x = 30; y = 2 ⇒ 30 × 2 = 60
• 20 and 3 ⇒ x = 20; y = 3 ⇒ 20 × 3 = 60
• 15 and 4 ⇒ x = 15; y = 4 ⇒ 15 × 4 = 60
• 12 and 5 ⇒ x = 12; y = 5 ⇒ 12 × 5 = 60
• 10 and 6 ⇒ x = 10; y = 6 ⇒ 10 × 6 = 60

Let's check each possibilities using the equation (x - y = 4):

• 60 and 1 ⇒ 60 - 1 = 59 ≠ 4
• 30 and 2 ⇒ 30 - 2 = 28 ≠ 4
• 20 and 3 ⇒ 20 - 3 = 17 ≠ 4
• 15 and 4 ⇒ 15 - 4 = 11 ≠ 4
• 12 and 5 ⇒ 12 - 5 = 7 ≠ 4
• 10 and 6 ⇒ 10 - 6 = 4 = 4 (Correct)

Thus, the values of x and y are 10 and 6 respectively.

Answer 2

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60

the only plausible answer would be 6 and 10