Find two numbers whose sum is 24 and whose product is 63.

Verified Answer :

The numbers you are looking for are 3 and 21

21×3=63
And 21+3=24

The two numbers are 3 and 21.

Given that,

  • The sum and the products of two numbers is 24 and 63.
  • Let us assume the one number be x and the other number be y.


Based on the above information, the calculation is as follows:

x + y = 24

x = 24 - y

\(x \times y = 63\)

Now put the x value in the above equation

\((24 -y) \times y = 63\)

\(24y - y^2 = 63\)

\(y^2 - 24y - 63 = 0\)

\(y^2 - 21y - 3y - 63 = 0\)

y(y - 21) -3(y - 21)

It can be 3 and 21


Therefore the two numbers is 3 and 21

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