Question

the sum of two numbers is 25 and their product is 144. find the number​

Answer 1

let the numbers be x and y

x+y=25

xy=144

(x+y)² = x²+y²+2xy

(25)² = x²+y²+2(144)

625 = x²+y²+288

625-288=x²+y²

x²+y² = 337

(x-y)² = x²+y²-2xy

(x-y)² = 337-288

(x-y)² = 49

(x-y) = 7

now the numbers are

9 and 26

now let's check

9+26=25

9×26=144

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