Question 78

The product of two numbers is 192 and their sum is 28. Find the smallest of these two numbers.

Solution

let the numbers be x,y

product xy = 192..........(1)

sum x + y = 28............(2)

from (2) x = 28 - y

substitute in (1)

(28 - y)y = 192

$$ 28y - y^2 = 192 $$

$$ y^2 - 28y + 192 = 0 $$

solving y =12

x + 12 = 28

x = 16


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