Question

The sum of two numbers is 45 and their product is 500.
What are the two numbers?

Answer 1

Answer:

let the first number be X

and second number be Y

atq

X+Y=45

so Y=45-X

now

since

X×Y=500

X×(45-X)=500 (from above)

45X-X²=500

X²-45X+500=0

X²-25X-20X+500=0

X(X-25)-20(X-25)=0

(X-25)(X-20)

X-25=0

SO X=25

AS

X-20=0

SO X=20

THERE FOR TWO NUMBERS ARE 25 AND 20