Question

The product of two numbers is 45 and their difference is 4. Find the numbers.​

Answer 1

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Answer 2

Answer:

The numbers are -9 and -5 or 9 and 5

Step-by-step explanation:

Let the numbers be x and (4+x), as their difference is 4

ATQ,

x × (4+x) = 45

=> 4x + x^2 = 45

=> x^2 + 4x - 45 = 0

=> (x+9) (x-5) = 0

So, x = -9 or 5

So the other number is -

4+(-9) or 4+5

= -5 or 9

Hence the numbers are

-9 and -5 or 9 and 5

Other method to solve is -

Let the numbers are x and y and x > y

ATQ,

x - y = 4

and xy = 45

Now solve the equations by substitution method, however the answer would be same