Question

sum of two number is 7 the sum of the cubes is 133
Find the numbers​

Answer 1

Answer:

The numbers are 5 and 2

Step-by-step explanation:

Let the numbers be x and y

x + y = 7

$x^{3} + y^{3} = 133$

$(x + y)^{3} = 7^{3}$

$x^{3} + y^{3}$ + 3xy(x+y)=343

133 + 3xy(7) = 343

133 + 21xy = 343

21xy = 210

xy = 10

x + y = 7

so the numbers are 5 and 2