Question

The sum of two numbers is 16 and their product is 63. What is their difference?

Answer 1

24 Apr 2018 — Numbers are −7 and −9 . Explanation: Let the numbers be x and −16−x. then x(−16−x)=63. i.e. −16x−x2=63. or x2+16x+63=0.

Answer 2

Solution :-

Let us assume that, two numbers are x and y .

So,

→ (x + y) = 16 ------- Eqn.(1)

→ xy = 63 --------- Eqn.(2)

using (a - b)² = (a + b)² - 4ab we get,

→ (x - y)² = (x + y)² - 4xy

putting values of Eqn.(1) and Eqn.(2) in RHS,

→ (x - y)² = (16)² - 4 * 63

→ (x - y)² = 256 - 252

→ (x - y)² = 4

→ square root both sides,

→ (x - y) = √4

→ (x - y) = ± 2 (Ans.)

Hence, their difference is equal to 2 or (-2) .

{ Numbers are 7 and 9 or 9 and 7 . }

Learn more :-

The sum of three consecutive integers is 174 . What are the integers

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