Question

The product of two number is 24. Their sum is 14, Find the numbers fiind two number op​

Answer 1

Answer:

Assume the two numbers to be a & b.

Then, we have

a × b = 24

a + b = 14

By inspection,. 14 can be written as (2+12).

Therefore, the numbers are 2 & 12.

Or

(a-b)^2 = (a+b)^2 -4ab

(a-b)^2 = 14^2 - 4 × 24

(a-b)^2 = 196 - 96 = 100

(a-b)^2 = 100

(a-b) = 10

Therefore, (a+b)= 14, (a-b)=10; we get a= 12 & b = 2

Therefore, the numbers are 12 & 2.