Question

If the sum of two natural number is 57 and their product is 282 find the numbers

Answer 1

Answer:

the two natural number is 28 and 29 sum of both of these is 57. But product in the question is wrong the product of these two natural number is 28×29 = 812.

hope u get the point

Answer 2

Question :

If the sum of two natural number is 57 and their product is 282 find the numbers.

Answer :

• The numbers do not exist whose sum is 57 and product is 282.

Given :

• Sum of two natural numbers = 57
• Product of the two numbers = 282

To find :

• The numbers

Solution :

   Let one of the numbers be "a"

• Since the sum of two numbers is 57

           ⇒ other number = (57 - a)

∴ The two numbers are a and (57 - a)

• The product of two numbers is 282

⇒ a × (57 - a) = 282

⇒ 57a - a² = 282

⇒ a² - 57a + 282 = 0

There is no solution for this quadratic equation.

∴ The numbers whose sum is 57 and product is 282 do not exist.