Question

the sum of 2 numbers is 100 and their product is 900. what are the 2 numbers

Answer 1

Step-by-step explanation:

Let the first number be x.

So, the second number=100-x

↪ According to the given condition,

➡x(100-x)=900

➡100x-x²=900

➡x²-100x+900=0

➡x²-10x-90x+900=0

➡x(x-10)-90(x-10)=0

➡(x-10)(x-90)=0

Hence, the two numbers are

=> 90

=> 10

Answer 2

Step-by-step explanation:

given, a+b=100. a=100-b

ab=900

100b-b^2=900

b^2-100b+900=0

b^2-10b-90b+900=0

b(b-10)-90(b-10)=0

b=10 or b=90

so a=100-10=90

so no.is 90 and 10